en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Graph

Popular Examples

integral of e^{ln(3x)}

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

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

integral of (x+cos(x))

integral of (e^{3x})/(1+e^{2x)}

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