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 \cdot 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 x^{2} sec^{2} (x^{3} + 1) d x

\int_{0}^{4} \frac{1}{u ^{2} - 16} d u

n = 1 \sum \infty \frac{1}{n + n ^{2}}

\frac{\partial}{\partial x} (6 x^{8} y^{6} + 2 x^{7} y^{4})

f (x) = - tan (x) - 5 cot (x)

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