What is the integral of y^2cos(x)+z^3 ?

The integral of y^2cos(x)+z^3 is z^3x+y^2sin(x)+C

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integral of y^2cos(x)+z^3

\int y^{2} cos (x) + z^{3} d x

z^{3} x + y^{2} sin (x) + C

Solution steps

\int y^{2} cos (x) + z^{3} 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 z^{3} d x + \int cos (x) y^{2} d x

\int z^{3} d x = z^{3} x

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

= z^{3} x + y^{2} sin (x)

Add a constant to the solution

= z^{3} x + y^{2} sin (x) + C

f^{^{''}} (x) = 4 x^{2} + 8 x - 17

\frac{\partial}{\partial x} (4 x^{2} + 5 y^{3} - 3)

\frac{\partial}{\partial x} (e^{x} sin (yz))

\frac{d}{d x} (e^{- 0.3 x})

\frac{d}{d x} (3^{x} - 4)

What is the integral of y^2cos(x)+z^3 ?
The integral of y^2cos(x)+z^3 is z^3x+y^2sin(x)+C