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Question

Question: <img src="https://cdn.pureessence.tech/canvas_308.png?top_left_x=969&top_left_y=300&width=225&height...

log sin x dx =

A

p2 log 2

B

–π22\frac { \pi ^ { 2 } } { 2 } log 2

C

p log 2

D

– p log 2

Answer

–π22\frac { \pi ^ { 2 } } { 2 } log 2

Explanation

Solution

Remove ‘x’ Ž I = π2\frac { \pi } { 2 } ∫0πlog⁡sin⁡x⋅dx\int _ { 0 } ^ { \pi } \log \sin x \cdot d x

I = π2\frac { \pi } { 2 } × 2 [P-6]

= p × [–π2\frac { \pi } { 2 } log 2] = – π22\frac { \pi ^ { 2 } } { 2 }log 2