en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x^2-5x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

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

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

integral of (x^2+2)^52x

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

integral of (3x+3)/(x^2+7x+12)

\int \frac{3 x + 3}{x ^{2} + 7 x + 12} d x

integral of (tan(x))^8(sec(x))^2

\int (tan (x))^{8} (sec (x))^{2} d x

integral of (x+1)sqrt(x+2)

\int (x + 1) x + 2 d x

Frequently Asked Questions (FAQ)

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