InterviewSolution
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InterviewSolution
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`int((3sinx - 2)cosx)/((5-cos^(2) x - 4sinx))` का मान ज्ञात कीजिए। |
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Answer» माना `I int ((3sinx - 2)cosx)/((5 - cos^(2) x - 4 sinx))` ` = int ((3sin x - 2)cos x)/((4+sin^(2)x - 4sinx))` ` =int ((3sinx - 2) cosx)/((2-sinx)^(2))dx` यदि `2-sin x = t, sin x = 2 - t `व` cos xdx = dt` अब ` I = - int({3(2-t)-2})/(t^(2))` ` = - int((4-3t))/(t^(2))dt = int((3t - 4))/(t^(2))dt` ` = int((3)/(t) - (4)/(t^(2)))dt = 3 log (t) +(4)/(t) +c` `= 3log (2-sinx)+(4)/((2-sinx))+c` |
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