- #1

songoku

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- 340

- Homework Statement
- Find

$$\int x \sqrt{1+4 \cos^2 (x)} dx$$

- Relevant Equations
- High School Integration:

integration by substitution

integration by part

integration of trigonometry function

Is it possible to do the integration? That is the full question

I don't know where to start, try to use ##u=\cos x## and also ##\cos^2 (x) = \frac{1}{2} + \frac{1}{2} \cos (2x)## but failed.

Thanks

I don't know where to start, try to use ##u=\cos x## and also ##\cos^2 (x) = \frac{1}{2} + \frac{1}{2} \cos (2x)## but failed.

Thanks