Mathematics

# Evaluate $\displaystyle\int_{-\pi/4}^{\pi/4}|\sin x|\ dx$

##### SOLUTION
Now,

$\displaystyle\int_{-\pi/4}^{\pi/4}|\sin x|\ dx$

$=2\displaystyle\int_{0}^{\pi/4}\sin x\ dx$ [ Since $|\sin x|$ is an even function]

$=2[-\cos x]_{0}^{\dfrac{\pi}{4}}$

$=2\left[1-\dfrac{1}{\sqrt2}\right]$

$=2-\sqrt2$.

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Subjective Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

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