Practicing Success
Practicing Success
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$\int\left(x^x\right)^x\left(2 x \log _e x+x\right) d x$ is equal to |
$x^{\left(x^x\right)}+C$ $\left(x^x\right)^x+C$ $x^x . \log _e x+C$ none of these |
none of these |
Let $I=\int\left(x^x\right)^x\left(2 x \log _e x+x\right) d x=\int x^{x^2}\left(2 x \log _e x+x\right) d x$ $\Rightarrow I=\int 1 \cdot d\left(x^{x^2}\right)=x^{x^2}+C=\left(x^x\right)^x+C$ |
