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`intx^3/(x+1)dx`is equal to:A. `x+(x^(2))/(2)+(x^(3))/(3)-log|1-x|+C`B. `x+(x^(2))/(2)-(x^(3))/(3)-log|1-x|+C`C. `x-(x^(2))/(2)-(x^(3))/(3)-log|1+x|+C`D. `x-(x^(2))/(2) + (x^(3))/(3) - log|1+x|+C` |
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Answer» Correct Answer - A Let ` I = int(x^(3))/(x+1)dx` `= int (x^(2) - x + 1) - (1)/((x+1))dx` ` = (x^(3))/(3) - (x^(2))/(2) + x - log |x+1|+C` |
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