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Problem

Calculus II

Changing the Limits Along With u

Evaluate the definite integral $\int_0^3 \frac{x}{\sqrt{x^2+16}}\,dx$ by a substitution that changes the limits of integration. State the new limits explicitly, and do not convert the antiderivative back to $x$ before evaluating. Give an exact value.

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Value

Type / for a fraction, ^ for a power, sqrt for a root, pi for π.

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