Question
First make a substitution and then use integration by parts to evaluate the integral.$ \displaystyle \int \cos (\ln x) dx $
Step 1
Let $u = \ln x$. Then, $du = \frac{1}{x} dx$ and $dx = x du$. Also, $x = e^u$. So, the integral becomes \[ \int \cos u \cdot x du = \int e^u \cos u du. \] Show more…
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