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

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∻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.⚹◊What is the formula for calculating the area under a curve in calculus?⍭ Generate me a similar question◊

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