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

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

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integral of cos(x)(x)

\int cos (x) (x) d x

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

Solution steps

\int cos (x) 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{1}{1 + tan ^{2} ( x )} d x

\int \frac{1}{1 - 2 x + 3} d x

\int \frac{1}{x ^{\frac{1}{2}} - x ^{\frac{1}{4}}} d x

\int \frac{16 x ^{4}}{3 25 x ^{5} + 4} d x

\int \frac{ln ( x )}{x ln ( x ^{2} )} d x

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