What is the integral of 5x^2-8x+5 ?

The integral of 5x^2-8x+5 is (5x^3)/3-4x^2+5x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x^2-8x+5

\int 5 x^{2} - 8 x + 5 d x

\frac{5 x ^{3}}{3} - 4 x^{2} + 5 x + C

Solution steps

\int 5 x^{2} - 8 x + 5 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^{2} d x - \int 8 x d x + \int 5 d x

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

\int 8 x d x = 4 x^{2}

\int 5 d x = 5 x

= \frac{5 x ^{3}}{3} - 4 x^{2} + 5 x

Add a constant to the solution

= \frac{5 x ^{3}}{3} - 4 x^{2} + 5 x + C

\int \frac{1}{8 x - 7} d x

\int \frac{cos ( x )}{9 sin ^{2} ( x )} d x

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

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

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

What is the integral of 5x^2-8x+5 ?
The integral of 5x^2-8x+5 is (5x^3)/3-4x^2+5x+C