en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 2xy^2+4

Solution

\int 2 x y^{2} + 4 d x

Solution

4 x + y^{2} x^{2} + C

Solution steps

\int 2 x y^{2} + 4 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 4 d x + \int 2 y^{2} x d x

\int 4 d x = 4 x

\int 2 y^{2} x d x = y^{2} x^{2}

= 4 x + y^{2} x^{2}

Add a constant to the solution

= 4 x + y^{2} x^{2} + C

Graph

Popular Examples

integral of (e^x)/(sqrt(2-e^{-2x))}

integral of 5x^3+7x-2

integral of (2x^3+x^2+6)/(x^5-x)

integral of xcos^3(x)sin(x)

integral of (e^x-6x)^2

Frequently Asked Questions (FAQ)

What is the integral of 2xy^2+4 ?
The integral of 2xy^2+4 is 4x+y^2x^2+C