InterviewSolution
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InterviewSolution
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` int _(-1)^(1) (e^(x^(3)) +e^(-x^(3))) (e^(x)-e^(-x)) dx` is equal toA. `(e^(2))/2- 2e`B. ` e^(2) - 2e`C. ` (e^(2)-2e)`D. 0 |
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Answer» Correct Answer - D Let `f(x)=(e^(x^(3))+e^(-x^(3)))(e^(x)-e^(-x))` `rArrf(-x)=(e^(-x^(3))+e^(x^(3)))(e^(-x)-e^(x))` `=-(e^(x^(3))+e^(-x^(3)))(e^(x)-e^(-x))=-f(x)` `rArr`f(x) is an odd function. `thereforeint_(-1)^(1)f(x)dx=0` |
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