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

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

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

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

Solution steps

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

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

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

\int \frac{1}{( x ( ln ( x ) ) ^{3} )} d x

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

\int \frac{1}{4 cos ^{2} ( x )} d x

\int lo g_{e^{x}} (d) x d x

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