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Popular >

integral of y-e^xz^2

Solution

\int y - e^{x} z^{2} d x

Solution

y x - z^{2} e^{x} + C

Solution steps

\int y - e^{x} z^{2} 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 y d x - \int z^{2} e^{x} d x

\int y d x = y x

\int z^{2} e^{x} d x = z^{2} e^{x}

= y x - z^{2} e^{x}

Add a constant to the solution

= y x - z^{2} e^{x} + C

Popular Examples

integral of (x-y)^2

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

integral of e^{ln(3x)}

\int e^{l n (3 x)} d x

integral of 2xe^{x^2+3y}

\int 2 x e^{x^{2} + 3 y} d x

integral of (sin(x))^2(cos(x))^3

\int (sin (x))^{2} (cos (x))^{3} d x

integral of tsqrt(t-3)

\int t t - 3 d t

Frequently Asked Questions (FAQ)

What is the integral of y-e^xz^2 ?
The integral of y-e^xz^2 is yx-z^2e^x+C