What is the integral of (7-3w-9w^2) ?

The integral of (7-3w-9w^2) is 7w-(3w^2)/2-3w^3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (7-3w-9w^2)

\int (7 - 3 w - 9 w^{2}) d w

7 w - \frac{3 w ^{2}}{2} - 3 w^{3} + C

Solution steps

\int 7 - 3 w - 9 w^{2} d w

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 7 d w - \int 3 w d w - \int 9 w^{2} d w

\int 7 d w = 7 w

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

\int 9 w^{2} d w = 3 w^{3}

= 7 w - \frac{3 w ^{2}}{2} - 3 w^{3}

Add a constant to the solution

= 7 w - \frac{3 w ^{2}}{2} - 3 w^{3} + C

\frac{d}{d x} (- 3 x - 3)

f (x) = 6 x + 10 - 19 e^{x}, (0, - 9)

\int \frac{9 x e ^{2 x}}{( 1 + 2 x ) ^{2}} d x

\int_{0}^{1} \frac{2 x}{( x ^{2} + 4 ) ^{2}} d x

x, \frac{1}{4} x

What is the integral of (7-3w-9w^2) ?
The integral of (7-3w-9w^2) is 7w-(3w^2)/2-3w^3+C