Question

please give answer in brief
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Answer 1

GOOD MORNING!

BEFORE DOING IT'S INTEGRATION LETS MAKE IT IN SIMPLER FROM.

Sin x × Cos x = (1/2) Sin 2x

Becoz Sin 2ß = 2 Sin ß × Cos ß

Integration of (1/2) Sin 2x dx limits from 0 to π/4

=>

- (1/2) (Cos 2x ) × ( 1/2 ) limits from 0 to π/4

Becoz Integration of Sin mx =

-(1/m) Cos mx

=>

-(1/4) { Cos π/2 - Cos 0 }

=>

(-1/4) { 0 - 1 }

= 1/4