What is the integral of cos(x)x^2 ?

The integral of cos(x)x^2 is x^2sin(x)-2(-xcos(x)+sin(x))+C

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integral of cos(x)x^2

\int cos (x) x^{2} d x

x^{2} sin (x) - 2 (- x cos (x) + sin (x)) + C

Solution steps

\int cos (x) x^{2} d x

Apply Integration By Parts

: x^{2} sin (x) - \int 2 x sin (x) d x

= x^{2} sin (x) - \int 2 x sin (x) d x

\int 2 x sin (x) d x = 2 (- x cos (x) + sin (x))

= x^{2} sin (x) - 2 (- x cos (x) + sin (x))

Add a constant to the solution

= x^{2} sin (x) - 2 (- x cos (x) + sin (x)) + C

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

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

\int t^{2} sec^{2} (t) d t

\int (1 - x y)^{- 2} d x

\int 4 tan^{3} (2 x) sec^{5} (2 x) d x

What is the integral of cos(x)x^2 ?
The integral of cos(x)x^2 is x^2sin(x)-2(-xcos(x)+sin(x))+C