What is the integral of (2x^2-1/2 x-15) ?

The integral of (2x^2-1/2 x-15) is (2x^3)/3-(x^2)/4-15x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x^2-1/2 x-15)

\int (2 x^{2} - \frac{1}{2} x - 15) d x

\frac{2 x ^{3}}{3} - \frac{x ^{2}}{4} - 15 x + C

Solution steps

\int 2 x^{2} - \frac{1}{2} x - 15 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 2 x^{2} d x - \int \frac{1}{2} x d x - \int 15 d x

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

\int \frac{1}{2} x d x = \frac{x ^{2}}{4}

\int 15 d x = 15 x

= \frac{2 x ^{3}}{3} - \frac{x ^{2}}{4} - 15 x

Add a constant to the solution

= \frac{2 x ^{3}}{3} - \frac{x ^{2}}{4} - 15 x + C

\int tan^{4} (x) sec^{3} (x) d x

\int x ln (a x + b) d x

\int (5 x + 2)^{\frac{1}{3}} d x

\int \frac{cos ( 3 x )}{5 + 2 sin ( 3 x )} d x

\int \frac{1}{1 - cos ( 2 x )} d x

What is the integral of (2x^2-1/2 x-15) ?
The integral of (2x^2-1/2 x-15) is (2x^3)/3-(x^2)/4-15x+C