en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2xy^2-3

Solution

\int 2 x y^{2} - 3 d x

Solution

- 3 x + y^{2} x^{2} + C

Solution steps

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

\int 3 d x = 3 x

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

= - 3 x + y^{2} x^{2}

Add a constant to the solution

= - 3 x + y^{2} x^{2} + C

Popular Examples

integral of 1/(x^2sqrt(x^2-8))

\int \frac{1}{x ^{2} x ^{2} - 8} d x

(\partial)/(\partial y)(ln(x^2+3xy))

\frac{\partial}{\partial y} (ln (x^{2} + 3 x y))

f (x) = x^{2} e^{x}

integral of xsqrt(81-x^2)

\int x 81 - x^{2} d x

integral from 0 to 12 of 2pix(12x-x^2)

\int_{0}^{12} 2 π x (12 x - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 2xy^2-3 ?
The integral of 2xy^2-3 is -3x+y^2x^2+C