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ming24885's Question
Math
Posted about 1 year ago
What is the formula for finding the area under a curve defined by y=f(x)y = f(x) from x=ax = a to x=bx = b in terms of integration?
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Answer from Sia
Verified answer
Posted about 1 year ago
Solution by Steps
step 1
Identify the function to be integrated and the limits of integration
step 2
The formula for finding the area under the curve y=f(x) y = f(x) from x=a x = a to x=b x = b is given by the definite integral abf(x)dx \int_{a}^{b} f(x) \, dx
step 3
Apply the formula to the given function and limits
Answer
The area under the curve y=f(x) y = f(x) from x=a x = a to x=b x = b is abf(x)dx \int_{a}^{b} f(x) \, dx .
Key Concept
Definite Integral
Explanation
The definite integral of a function from x=a x = a to x=b x = b represents the area under the curve of that function over the interval [a, b].

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