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

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

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integral of y^2cos(x)+cos(y)

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

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

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cos (y) d x + \int cos (x) y^{2} d x

\int cos (y) d x = cos (y) x

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

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

Add a constant to the solution

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

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

\frac{\partial}{\partial x} (x cos (θ))

f (x) = 5 e^{x} x

\int \frac{36 - 25 x ^{2}}{x} d x

x \to - 6 lim (\frac{- 8 x}{x + 6})

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