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Integral Solver
Any integral, definite or indefinite.
Type or photograph the integral. AskSia identifies the structure, picks the right integration technique, shows every step, and gives a closed-form answer when available or a numerical approximation when not. Bounds for definite integrals applied at the end.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
98% · Verified
Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is an integral?
An integral measures accumulation. The indefinite integral of f(x) is the family of antiderivatives F(x) + C such that F'(x) = f(x). The definite integral from a to b is F(b) - F(a), representing the net signed area under the curve y = f(x) from x = a to x = b. To compute an integral, identify the function's structure and apply the matching technique: power rule, substitution, integration by parts, partial fractions, trig substitution, or numerical methods.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Integral.
Every step transparent, every answer self-checked.
Definite or indefinite.
Indefinite returns F(x) + C; definite evaluates at bounds and reports the numerical difference.
Both
Closed form when possible.
Whenever the integrand has an elementary antiderivative, AskSia returns the exact symbolic answer.
Exact
Numerical fallback.
When no closed form exists, AskSia uses adaptive quadrature and reports a decimal with error estimate.
Numerical
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Integral problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On
Solve anywhere
you study.
Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Integral solver covers.
Polynomial integrals.
Direct application of the power rule. Integrate each term separately.
Algebra
Substitution.
Inside-outside compositions: pick u, compute du, integrate cleanly.
Substitution
Product integrals.
Integration by parts for products, with LIATE ordering for u choice.
Parts
Rational integrals.
Partial fractions decomposition, then integrate each piece.
Partial fractions
Improper integrals.
Bounds at infinity or integrand with singularities. AskSia uses limits.
Improper
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
What does the + C mean?
For indefinite integrals, + C represents the constant of integration. Any antiderivative of f(x) is unique only up to an added constant, since the derivative of a constant is zero. So the most general antiderivative is F(x) + C. For definite integrals, the + C cancels when you subtract.
How does AskSia evaluate definite integrals?
It first finds the antiderivative F(x), then evaluates F(b) - F(a) using the upper and lower bounds. The two values are computed exactly when possible or numerically when the antiderivative is complicated. Both intermediate values are shown.
Can AskSia handle improper integrals?
Yes. For integrals with infinite bounds or with a singularity in the integrand, AskSia rewrites the integral as a limit and evaluates the limit to determine convergence and the value.
Why does AskSia sometimes use numerical methods?
Some integrands like e^(-x^2) or sin(x)/x have no elementary antiderivative. The integral exists but cannot be expressed in standard functions. AskSia switches to numerical integration and reports a decimal answer with an estimated error bound.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Definite or indefinite, exact or numerical.
Join 2M+ students using AskSia to solve integral problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.
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