What is the integral of sin(x)+x^2 ?

The integral of sin(x)+x^2 is -cos(x)+(x^3)/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(x)+x^2

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

- cos (x) + \frac{x ^{3}}{3} + C

Solution steps

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

\int sin (x) d x = - cos (x)

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

= - cos (x) + \frac{x ^{3}}{3}

Add a constant to the solution

= - cos (x) + \frac{x ^{3}}{3} + C

\int e^{- 0.02 t} d t

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

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

\int - 4 x + 8 d x

\int \frac{x ^{2}}{x ^{2} + 36} d x

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