Subjects calculus

Integral Limits

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Integral Limits


1. The problem is to evaluate the definite integral by applying the appropriate limits. 2. The general formula for a definite integral from $a$ to $b$ of a function $f(x)$ is: $$\int_a^b f(x)\,dx = F(b) - F(a)$$ where $F(x)$ is the antiderivative of $f(x)$. 3. To solve the integral, first find the antiderivative $F(x)$ of the integrand $f(x)$. 4. Then substitute the upper limit $b$ and the lower limit $a$ into $F(x)$ and subtract: $F(b) - F(a)$. 5. This result gives the exact area under the curve $f(x)$ from $x=a$ to $x=b$. Please provide the specific integral expression and limits so I can solve it step-by-step.