en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^4-3x

Solution

\int 3 x^{4} - 3 x d x

Solution

\frac{3 x ^{5}}{5} - \frac{3 x ^{2}}{2} + C

Solution steps

\int 3 x^{4} - 3 x 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^{4} d x - \int 3 x d x

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

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

= \frac{3 x ^{5}}{5} - \frac{3 x ^{2}}{2}

Add a constant to the solution

= \frac{3 x ^{5}}{5} - \frac{3 x ^{2}}{2} + C

Popular Examples

integral of sin(3-x)

\int sin (3 - x) d x

integral of (sin(2x))/(cos^2(x)+1)

\int \frac{sin ( 2 x )}{cos ^{2} ( x ) + 1} d x

integral of 5/(2x+1)

\int \frac{5}{2 x + 1} d x

integral of e^x(1+e^x)

\int e^{x} (1 + e^{x}) d x

integral of 1-csc(x)cot(x)+e^x

\int 1 - csc (x) cot (x) + e^{x} d x

Frequently Asked Questions (FAQ)

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