`int sin^(4)xdx` का मान ज्ञात कीजिए।

1.	`int sin^(4)xdx` का मान ज्ञात कीजिए।
Answer» दिया है - `intsin^(4) xdx` ` = (1)/(4)int(2sin^(2)x)^(2)dx = (1)/(4) int(1-cos 2x)^(2)dx` ` (1)/(4)int(1+cos^(2) 2x - 2cos2x)dx` ` = (1)/(8)int(2+cos^(2) 2x- 4 cosf 2x)dx` ` = (1)/(8) int[2+(1+cos 4x)- 4cos 2x]dx` `(3)/(8) int dx +(1)/(8) int cos 4dx - (1)/(2) int cos 2xdx` `=(3x)/(8)+(sin 4x)/(32) - (sin 2x)/(4)+c`

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