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Integrate the following functions xsqrt(x+2) |
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Answer» Solution :`xsqrt(x+2) = (x+2-2) sqrt(x+2)` =`(x+2) sqrt(x+2)-2sqrt(x+2)` =`(x+2)^(3/2) -2(x+2)^(1/2)` THEREFORE `int xsqrt(x+2) dx` =`(x+2)^(3/2+1)/(3/2+1) -2 (x+2)^(1/2+1)/(1/2+1) +C` =`2/5 (x+2)^(5/2) -4/3 (x=2)^(3/2) +c` |
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