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

x cos (2 x^{2} + 7) d x

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\int e^{3 x} csc (e^{3 x}) cot (e^{3 x}) d x

\int [(tan (x))^{2} + (cot (x))^{2}] d x

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