en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^3+2x-7

Solution

\int x^{3} + 2 x - 7 d x

Solution

\frac{x ^{4}}{4} + x^{2} - 7 x + C

Solution steps

\int x^{3} + 2 x - 7 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 x^{3} d x + \int 2 x d x - \int 7 d x

\int x^{3} d x = \frac{x ^{4}}{4}

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

\int 7 d x = 7 x

= \frac{x ^{4}}{4} + x^{2} - 7 x

Add a constant to the solution

= \frac{x ^{4}}{4} + x^{2} - 7 x + C

Popular Examples

integral of-6x^{1/2}+7

\int - 6 x^{\frac{1}{2}} + 7 d x

integral of e^{(-x^2)/4}

\int e^{\frac{- x ^{2}}{4}} d x

integral of-sin(x)sqrt(1+cos(x))

\int - sin (x) 1 + cos (x) d x

integral of xcos(x/5)

\int x cos (\frac{x}{5}) d x

integral of e^{9x^2}

\int e^{9 x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of x^3+2x-7 ?
The integral of x^3+2x-7 is (x^4)/4+x^2-7x+C