What is the integral of (5x^3+7x-2) ?

The integral of (5x^3+7x-2) is (5x^4)/4+(7x^2)/2-2x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x^3+7x-2)

\int (5 x^{3} + 7 x - 2) d x

\frac{5 x ^{4}}{4} + \frac{7 x ^{2}}{2} - 2 x + C

Solution steps

\int 5 x^{3} + 7 x - 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 5 x^{3} d x + \int 7 x d x - \int 2 d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{5 x ^{4}}{4} + \frac{7 x ^{2}}{2} - 2 x

Add a constant to the solution

= \frac{5 x ^{4}}{4} + \frac{7 x ^{2}}{2} - 2 x + C

\int x (x^{2} + 100)^{100} d x

\int \frac{6}{144 - 9 x ^{2}} d x

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

\int \frac{x ^{4}}{x ^{3} - 2 x ^{2} - 7 x - 4} d x

\int \frac{sin ( x )}{2 - sin ( x )} d x

What is the integral of (5x^3+7x-2) ?
The integral of (5x^3+7x-2) is (5x^4)/4+(7x^2)/2-2x+C