InterviewSolution
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InterviewSolution
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`int(((x^(2)+2)a^((x+tan^(-1)x)))/(x^(2)+1))dx` is equal toA. `log a.a^(x+tan^(-1)x)+c`B. `((x+tan^(-1)x))/(loga)+c`C. `(a^(x+tan^(-1)x))/(loga)+c`D. `loga(x+tan^(-1)x)+c` |
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Answer» Correct Answer - C Let `l=int((x^(2)+2)a^((x+tan^(-1)x)))/(x^(2)+1)dx` `"Put "x+tan^(-1)x=t` `rArr" "(1+(1)/(1+x^(2)))dx=dt` `rArr" "(2+x^(2))/(1+x^(2))dx=dt` `therefore" "l=inta^(t)dt=(a^(t))/(loga)+c=(a^(x+tan^(-1)x))/(loga)+c` |
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