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Evaluate:`int(x^2tan^(-1)x^3)/(1+x^6)dx`A. `(1)/(3)(tan^(-1)x^(3))^(2)+C`B. `log|tan^(-1)x^(3)|+C`C. `(1)/(6)(tan^(-1)x^(3))^(2)+C`D. none of these |
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Answer» Correct Answer - C Put `tan^(-1)x^(3)=t and(3x^(2))/((1+x^(6)))dx=dt`. `:." "I=(1)/(3)intdt=(1)/(6)(tan^(-1)x^(3))^(2)+C`. |
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