InterviewSolution
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InterviewSolution
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`int(e^(x)(1+x))/(cos^(2)(e^(x)x))dx` equal toA. `-cot(ex^(x))+C`B. `tan(xe^(x))+C`C. `tan(e^(x))+C`D. `cot(e^(x))+C` |
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Answer» Correct Answer - B `int(e^(x)(1+x))/(cos^(2)(e^(x)x))dx` Let`" "xe^(x)=t` `rArr" "(xe^(x)+e^(x))=(dt)/(dx) rArr dx=(dt)/(e^(x)(x+1))` `therefore int(e^(x)(1+x))/(cos^(2)(e^(x)x))dx=int(e^(x)(1+x))/(cos^(2)t)xx(dt)/(e^(x)(1+x))` `=int(1)/(cos^(2)t)dt=intsec^(2)tdt` `=tant +C tan(xe^(x))+C` |
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