`What is the formula for finding the area under a curve defined by $y = f(x)$ from $x = a$ to $x = b$ in terms of integration?`

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Posted 4 months 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 $y = f(x)$ from $x = a$ to $x = b$ is given by the definite integral $\int_{a}^{b} f(x) \, dx$

step 3

Apply the formula to the given function and limits

Answer

The area under the curve $y = f(x)$ from $x = a$ to $x = b$ is $\int_{a}^{b} f(x) \, dx$.

Key Concept

Definite Integral

Explanation

The definite integral of a function from $x = a$ to $x = b$ represents the area under the curve of that function over the interval [a, b].

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