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`intxsin^(3)x^(2)cosx^(2)dx=?`A. `(1)/(4)sin^(4)x^(2)+C`B. `(1)/(8)sin^(4)x^(2)+C`C. `(1)/(2)sin^(4)x^(2)+C`D. none of these |
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Answer» Correct Answer - B Put `sinx^(2)=t and2xcosx^(2)dx=dt`. `:." "I=(1)/(2)intt^(3)dt=(1)/(2)xx(t^(4))/(4)+C=(t^(4))/(8)+C=(1)/(8)sin^(4)x^(2)+C`. |
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