Paganellash

2021-12-03

Trigonometric integrals. Evaluate the following integrals.

${\int}_{0}^{\pi}{(1-\mathrm{cos}2x)}^{\frac{3}{2}}dx$

Elizabeth Witte

Beginner2021-12-04Added 24 answers

Step 1

To evaluate the given integrals ,

Solution:

Let us denote the given integral by I as,

Since we know the identity as,

So the integral becomes,

So further solving the integral gives,

Step 2

Now using Substitution method, Put

Therefore, the given integral changes with upper limit,

Step 3

Further, solving the integral gives,

Hence, the value of the integral is

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