`int sin^(4) 2xdx` का मान ज्ञात कीजिए।

Explanation

`int sin^(4) 2x dx = int (sin^(2) 2x)^(2)dx`
`int((1-cos4x)/(2))^(3)dx`
` = (1)/(4) int (1-2 cos4x + cos^(2) 4x)dx`
` = (1)/(4)int[1-2cos4x+ cos8x] dx`
` = (1)/(8) int [3-4cos4x + cos 8x]dx`
` = (1)/(8)[3x - sin 4x + (1)/(8) +(1)/(8) sin8x] + c`