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`int(cos^(4) x - sin^(4) x)dx` का मान ज्ञात कीजिए। |
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Answer» `int (cos^(4) x - sin^(4)x)dx` `= int[(cos^(2) x)^(2) - (sin^(2) x)^(2)]dx` `=int (cos^(2) x + sin^(2)x)(cos^(2) x - sin^(2)x)dx` ` =int1.(cos^(2) x-sin^(2)x)dx` ` = int cos 2x dx` ` = (sin2x)/(2)+c = (1)/(2)sin 2x + c` |
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