Problem

Evaluate the integral. $$ \int \frac{\sqrt{x^{2}-…

03:20

Problem 6 Medium Difficulty

Evaluate the integral.
$$
\int \frac{x^{2}}{\sqrt{5+x^{2}}} d x
$$

Answer

$\frac{5}{2}\left[\frac{x \sqrt{x^{2}+5}}{5}-\ln \left|\frac{x}{\sqrt{5}}+\sqrt{\frac{x^{2}}{5}+1}\right|\right]+C$

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus Early Transcendentals

Chapter 7

PRINCIPLES OF INTEGRAL EVALUATION

Section 4

Trigonometric Substitutions

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Video Transcript

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