InterviewSolution
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InterviewSolution
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`int(cosx)/(3-4 sin^(2)x)dx` का मान ज्ञात कीजिए । |
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Answer» माना `" "2sin x= t " "rArr" "2 cos x dx =dt` `therefore int(cosx)/(3-4 sin^(2)x)dx=(1)/(2)int(dt)/((sqrt3)^(2)-t^(2))` `=(1)/(2)xx(1)/(2sqrt3)log((sqrt3+t)/(sqrt3-t))` `=(1)/(4sqrt3)log((sqrt3 +2sinx)/(sqrt3-2 sinx))` |
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