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`int_0^9(dx)/(1+sqrt(x))`A. `(3-2log2)`B. `(3+2log2)`C. `(6-2log4)`D. `(6+2log4)` |
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Answer» Put `x=t^(2)` and `dx=2t dt`. `[x=0impliest=0]` and `[x=9impliest^(2)=9impliest=3]` `:.I=int_(0)^(3)(2t)/((1+t))dt=int_(0)^(3){2-(2)/((1+t))}dt=[2t-2log(1+t)]_(0)^(3)=(6-2log4)`. |
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