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Question

Question: <img src="https://cdn.pureessence.tech/canvas_463.png?top_left_x=699&top_left_y=900&width=300&height...

is equals to -

A

0

B

1

C

2

D

None of these

Answer

2

Explanation

Solution

I = ∫0π∣cos⁡x∣dx\int _ { 0 } ^ { \pi } | \cos x | d x = + ∫π/2π(−cos⁡x)dx\int _ { \pi / 2 } ^ { \pi } ( - \cos x ) d x

= – (sin⁡x)π/2π( \sin x ) _ { \pi / 2 } ^ { \pi } = 1 – ( – 1) = 2