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`"If "int x^(5)(1+x^(3))^(2//3)dx=A(1+x^(3))^(8//3)+B(1+x^(3))^(5//3)+c, " then " `A. `A=(1)/(4),B=(1)/(5)`B. `A=(1)/(8),B=(1)/(5)`C. `A=-(1)/(8),B=(1)/(5)`D. none of these |
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Answer» Correct Answer - B `intx^(2)x^(3) (1+x^(3))^(2//3)dx " "1+x^(3)=t^(3) ` ` int(t^(3)-1),t^(2)t^(2)dt " " x^(2)dx=t^(2)dt` |
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