InterviewSolution
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InterviewSolution
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`int(x-.^(11)C_(1)x^(2)+.^(11)C_(2)x^(3)-.^(11)C_(3)x^(4)+...-.^(11)C_(x^(12)))dx` equal toA. `((1-x)^(12))/(12)-((1-x)^(11))/(11)+C`B. `((1-x)^(13))/(13)-((1-x)^(12))/(12)+C`C. `((1-x)^(11))/(11)-((1-x)^(12))/(12)+C`D. `((1-x)^(12))/(12)-((1-x)^(13))/(13)+C` |
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Answer» Correct Answer - B Let `l=int x (1-.^(11)C_(1)x+.^(11)C_(2)x^(2)-.^(11)C_(3)x^(3)+…..-.^(11)C_(11)x^(11))dx` `=int x(1-x)^(11)dx` `"Put "1-x=t` `therefore" "dx=-dt` `"Then, "l=- int(1-t)t^(11)dt=-(t^(12))/(12)+(t^(13))/(13)+C` `=((1-x)^(13))/(13)-((1-x)^(12))/(12)+C` |
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