Calculus · Grade guarantee on the A+ plan

Personal AI Calculus Tutor Online That Teaches the Method

Paste the integral or photograph the page you are stuck on. The tutor asks which rule the expression is asking for before it applies anything, because choosing the technique is the part that is actually being examined.

+0.6 GPA 一個學期內,A+ 方案保障達成
僅限 A+ 方案 解法分是試卷中真正可以透過練習提升的部分。 閱讀完整條款
分數為何流失
先給提示,再看解答照片 · PDF · 投影片 · 錄音附有解題過程的圖解針對弱項的測驗
把卡住的題目帶來
你的 AI導師已準備好
接下來會發生什麼
1提示不是直接給答案
2演練你需要時
3檢查站它會反問你
4測驗幾天後
你隨時可以要求完整解答,但它不會一開始就只給答案。
快速解答

What is the AskSia AI calculus tutor?

The AskSia AI calculus tutor is a personal tutoring tool that teaches technique selection rather than returning finished antiderivatives. It opens with a hint about which rule the expression is asking for, walks the working line by line with each substitution named, closes with a question back to you, and builds quizzes weighted toward the techniques you keep choosing wrongly. You can paste an expression, photograph a problem set, upload lecture slides or a recorded lecture. It covers limits and continuity, differentiation, applications, integration techniques, sequences and series, and multivariable foundations, and answers in eight languages. Students on the AskSia A+ plan are additionally covered by the Grade Confidence Guarantee. AskSia is a study aid, not an answer key.

輔導如何進行

如同真人導師的四個階段

解答出現時,解題工具就完成任務;當你能獨自解下一題,輔導才算完成。

1
提示

給推進方向,而不是直接給解答

它指出卡住的步驟,再把問題交回給你走出下一步。

2
演練

逐行說明,搭配圖解

需要更多協助時,它會逐行帶你走過解法,而不只告訴你最終結果。

3
檢查站

它會反過來問你一題

在繼續之前,它會用一個簡短問題確認下一步是否真正屬於你。

4
測驗

稍後再回來複習

弱項會在更適合主動回憶、鞏固解題方法的時機再次出現。

你現在就需要答案

晚上 11 點,作業就要截止

若截止時間最優先,請使用解題工具查看完整的分步解答。

使用解題工具
你需要學會自己解

考試還有三週

導師會刻意放慢節奏,為下一題留下可重複使用的解題方法。

成績信心保證 · AI Calculus Tutor僅限 A+ 方案 · 基於成績單 · 條款已公開 · v2026.05
僅限 A+ 方案
因為我們教的是方法,所以可以承諾成績 ✦
大學 · GPA 僅限 A+ 方案
+0.6 GPA
此保證會依學習紀錄審核,僅限 A+ 方案。註冊前請詳閱完整適用條件。
AI Calculus Tutor · 分數在哪裡
Reaching for a technique before reading the expressionM1
Substituting without changing the limitsM1
Picking a convergence test by feelM1
找出第一個錯誤步驟M1
解題過程會清楚顯示在答案旁A1
在 A+ 方案中:依此學習路徑持續一個學期,未達目標即可申請退款單靠答案無法保證結果。我們能保證的是解題方法,因為它才是評分依據。免費方案和其他付費方案也包含導師服務,但不包含退款。 閱讀完整條款
合約保障 ✦
每個學期
分數為何流失

每學期最容易失分的三個習慣

Calculus exams rarely test whether you can differentiate. They test whether you picked the right tool. These three are where the marks go.

01

Reaching for a technique before reading the expression

Integration by parts on something that was a substitution costs the whole question. The tutor asks you to classify the integrand first, which is the habit that transfers to the exam.

02

Substituting without changing the limits

A definite integral evaluated with the original limits after a u-substitution gives a clean, wrong number. The tutor flags the limits at the moment you substitute, not at the end.

03

Picking a convergence test by feel

Ratio test on a p-series is inconclusive and wastes half the time allowed. The tutor makes you say what the general term looks like before any test is applied.

練習與追蹤

不是題庫,而是從你的錯誤建立的測驗

Your marks are not lost evenly, so your practice is not spread evenly. Try this one.

從你的弱項開始SERIES CONVERGENCE
Which test settles the convergence of the sum of 1 / (n · ln n) from n = 2 to infinity?
這個答案的原因。 Why B. The ratio test returns 1 and is inconclusive, the series is not geometric, and the terms are not alternating. The integral of 1/(x·ln x) is ln(ln x), which grows without bound, so the series diverges.
長答題會按每一步的推理過程評分,而不只看最終數值。
涵蓋範圍

這位導師涵蓋的內容

Calculus I through III, plus the series work that decides most second semester grades. Upload your slides and AskSia follows your course's notation.

LIM
Limits and continuity
Epsilon delta, one sided limits, removable gaps
DIF
Differentiation rules
Product, quotient, chain, and when to use which
DIF
Implicit and logarithmic
Differentiating relations, not just functions
APP
Related rates
Building the equation before differentiating it
APP
Optimisation
Constraint substitution and endpoint checking
APP
Mean value and curve sketching
Concavity, inflection, first and second derivative tests
INT
u-substitution
Spotting the inner function and changing the limits
INT
Integration by parts
Choosing u by LIATE and recognising the loop
INT
Partial fractions and trig substitution
Matching the denominator to the method
SER
Sequences and convergence
Choosing a test instead of guessing one
SER
Power and Taylor series
Radius of convergence, remainder estimation
MUL
Multivariable foundations
Partials, gradients, double integrals

Studying AP Calculus AB or BC? BC reaches series a full semester before most first year courses. Continuing on to multivariable or differential equations?

輸入問題拍下你的解題過程上傳課程資料帶來錄音內容線上測驗截圖來自 LMS 的作業
這是輔導,不只是聊天視窗

Four things a calculus tutor does that a chat box does not

它了解你的學習歷程,不只是一個問題

下一次輔導會從你真正感到困難的步驟開始,而不是泛泛地重講整個主題。

它會畫出圖解,不只列出代數式

圖解會帶著標記與解題過程的每一步並列呈現,因為視覺化推理本身也能得到分數。

它會找出你自己解題過程中的第一行錯誤

拍下做錯的嘗試,它會找到解法最早偏離的步驟,接著講清這一步。

它依照你的課程方式檢驗理解

長答題需要依照你自己試卷的格式練習,而不是套用選擇題題庫。

為什麼這樣有效

Why a finished antiderivative teaches nothing

Nobody loses calculus marks because they cannot differentiate a polynomial. They lose them because they spent twelve minutes on parts when the integral was a substitution. The tutor leads with the classification, not the result, so the decision you actually have to make in the exam is the one you practise.

Personal here means it remembers which decision keeps failing. If your substitutions are clean but your series tests are guesses, those are tracked separately, and revision weeks later opens on the second one. Connect your LMS once and it also picks up your course's notation, including whether your lecturer writes dy/dx or y prime and which convergence tests are examinable.

It tutors in English, German, Japanese, Korean, Spanish, Portuguese, Simplified Chinese and Traditional Chinese, so you can reason through a derivation in your first language and still present working in the language of assessment.

常見問題

學生真正會問的問題

Does it just give me the answer to the integral?

No. It opens with a hint about which technique the integrand is asking for, and walks the full working only when you ask. Each walkthrough ends with a variation put back to you. You can request the finished answer at any point, but it will not lead with it.

Can it show the steps rather than the final value?

Yes, and the steps are named rather than just performed. You see which substitution was chosen and why, where the limits changed, and which line the sign convention entered, because that is what a marker is reading.

Does it cover multivariable and differential equations?

It covers the multivariable foundations here, and there are dedicated tutors for multivariable calculus and differential equations when your course moves on.

Can I photograph a handwritten attempt?

Yes. Photograph the page, crossings out included, and the tutor identifies the earliest line where the working broke rather than restarting the problem cleanly.

Will it use my lecturer's notation?

It will once your slides are connected. Courses differ on notation for derivatives, on which convergence tests are examinable, and on how much justification a limit argument needs before it earns full marks.

Is using an AI calculus tutor allowed?

AskSia is built as a study aid, not an answer key. Using it to understand a technique, check where your own working went wrong, or generate extra practice sits in the same category as a tutorial. Assessment rules differ, so check your own faculty's AI policy before using any tool on graded work.

所有學科

全部 149 位 AskSia 導師

每個學科都採用同一種方式:針對你卡住的步驟給出提示,結合你自己的課程資料講解,最後再向你拋回一個問題。

健康相關課程

7

結合每個選項的理據,協助課程與執照準備。

學會解題方法。 把分數留下來。

把卡住的題目帶來。你的導師會先提示、陪你解題,然後再問你一題。

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