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