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Evaluate the Integral Using the Indicated Trigonometric Substitution x3x2+25dx;x=5tanθ\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 25 } } d x ; \quad x = 5 \tan \theta

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Short Answer

Evaluate the integral using the indicated trigonometric substitution.
x3x2+25dx;x=5tanθ\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 25 } } d x ; \quad x = 5 \tan \theta


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