InterviewSolution
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InterviewSolution
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सिद्ध कीजिए कि (i) `int(1)/(1+cos^(2)x)dx=(1)/(sqrt2)tan(-1)((tanx)/(sqrt2))+c` |
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Answer» (i) `int(dx)/(sqrt3 sin x+cosx)dx` `=(1)/(2)int(1)/(((sqrt3)/(2)sinx+(1)/(2)cosx))dx=(1)/(2)int(dx)/((sin.(pi)/(3)sinx+cos.(pi)/(3)cosx))` `=(1)/(2)int(dx)/(cos(x-(pi)/(3)))=(1)/(2)int sec(x-(pi)/(3))dx` `=(1)/(2)log tan ((x-(pi)/(3))/(2)+(pi)/(4))+c` |
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