Question

Math

Posted 5 months ago

`What is the formula for finding the area under a curve in calculus?`

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

The formula for finding the area under a curve in calculus is given by the definite integral of the function representing the curve between two points

step 2

For a function $f(x)$, the area $A$ under the curve from $a$ to $b$ is $A = \int_{a}^{b} f(x) \, dx$

step 3

In the asksia-ll calculation list, the integral of a constant 1 with respect to $x$ is given as $x + C$, where $C$ is the constant of integration

step 4

To find the definite integral, we evaluate the antiderivative at the upper limit of integration and subtract the value of the antiderivative at the lower limit

Answer

The formula for finding the area under a curve in calculus is $A = \int_{a}^{b} f(x) \, dx$.

Key Concept

Definite Integral

Explanation

The definite integral is used to calculate the area under a curve between two points by evaluating the antiderivative of the function at the upper and lower limits of integration.

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