Math, asked by riya6613, 1 year ago

integration sin³(2x+3)​

Answers

Answered by Anonymous
2

★ GOOD NIGHT ★

Sin³ ( 2x + 3 ) =

{1 - Cos² ( 2x + 3 )} × ( Sin ( 2x + 3 )

put Cos ( 2x + 3 ) = z

DIFFERENTIATE both sides w.r.t x we have

- 2Sin ( 2x + 3 ) dx = dz

=>

integration of -(1/2)×( 1 - z² ) dz

=>

(-1/2) × ( z - z³/3 )

=>

(-1/2) × ( Cos ( 2x + 3 ) - Cos³ ( 2x + 3 )/3 )

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