en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3/(u^2)+4/(u^3)-2)

Solution

\int (\frac{3}{u ^{2}} + \frac{4}{u ^{3}} - 2) d u

Solution

- \frac{3}{u} - \frac{2}{u ^{2}} - 2 u + C

Solution steps

\int \frac{3}{u ^{2}} + \frac{4}{u ^{3}} - 2 d u

Apply the Sum Rule:

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

= \int \frac{3}{u ^{2}} d u + \int \frac{4}{u ^{3}} d u - \int 2 d u

\int \frac{3}{u ^{2}} d u = - \frac{3}{u}

\int \frac{4}{u ^{3}} d u = - \frac{2}{u ^{2}}

\int 2 d u = 2 u

= - \frac{3}{u} - \frac{2}{u ^{2}} - 2 u

Add a constant to the solution

= - \frac{3}{u} - \frac{2}{u ^{2}} - 2 u + C

Popular Examples

y^{''}-4y^'=sin(3x)

y^{^{''}} - 4 y^{^{'}} = sin (3 x)

derivative of 7x^6-4x^5 derivative of

7 x^{6} - 4 x^{5}

integral of cos(2x)+sin(x)

\int cos (2 x) + sin (x) d x

integral of 10000-x^2

\int 10000 - x^{2} d x

area y=x^2-4x,y=-2x area

y = x^{2} - 4 x, y = - 2 x

Frequently Asked Questions (FAQ)

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