Question
Evaluate $\int e^{\sqrt{x}} d x$ by letting $u=\sqrt{x} .$ Note that $x=u^{2}$ so $d x=2 u d u .$ Make the substitutions and observe that the new integral (with variable $u$ ) can be evaluated using integration by parts.
Step 1
Differentiating both sides with respect to $x$, we get $dx=2u du$. Show more…
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