Integrate the following function with respect to $x$ .
$x sin h x$

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Solution

Using integration by parts
$\int sin h x d x = x cos h x - \int cos h x d x = x cos h x - sin h x + c o n s t a n t$

$\Rightarrow \int x s i n h x = x c o s h x - \int c o s h x d x$

$\Rightarrow \int x s i n h x = x c o s h x - s i n h x + c o n s t a n t$

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