What is the integral of (x)cos(x) ?

The integral of (x)cos(x) is xsin(x)+cos(x)+C

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integral of (x)cos(x)

\int (x) cos (x) d x

x sin (x) + cos (x) + C

Solution steps

\int x cos (x) d x

Apply Integration By Parts

: x sin (x) - \int sin (x) d x

= x sin (x) - \int sin (x) d x

\int sin (x) d x = - cos (x)

= x sin (x) - (- cos (x))

Simplify

= x sin (x) + cos (x)

Add a constant to the solution

= x sin (x) + cos (x) + C

\int \frac{2 t + 1}{t ^{2} + 3 t - 1} d t

\int - 6 x^{3} + 9 x^{2} + 4 x - 3 d x

\int 3 2 x - 1 d x

\int cos (x + 3) d x

\int cos (x + 1) d x

What is the integral of (x)cos(x) ?
The integral of (x)cos(x) is xsin(x)+cos(x)+C