What is the integral of 3x^5-2x^3 ?

The integral of 3x^5-2x^3 is (x^6)/2-(x^4)/2+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^5-2x^3

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

\frac{x ^{6}}{2} - \frac{x ^{4}}{2} + C

Solution steps

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

\int 3 x^{5} d x = \frac{x ^{6}}{2}

\int 2 x^{3} d x = \frac{x ^{4}}{2}

= \frac{x ^{6}}{2} - \frac{x ^{4}}{2}

Add a constant to the solution

= \frac{x ^{6}}{2} - \frac{x ^{4}}{2} + C

\int \frac{1}{( tan ( x ) ) ^{2}} d x

\int 12 x e^{3 x^{2}} d x

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

\int \frac{x}{5 2 x ^{2} - 4} d x

\int \frac{1}{3 x ^{2}} d x

What is the integral of 3x^5-2x^3 ?
The integral of 3x^5-2x^3 is (x^6)/2-(x^4)/2+C