What is the integral of (3x^2+cos(x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3x^2+cos(x))

\int (3 x^{2} + cos (x)) d x

x^{3} + sin (x) + C

Solution steps

\int 3 x^{2} + cos (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 3 x^{2} d x + \int cos (x) d x

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

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

= x^{3} + sin (x)

Add a constant to the solution

= x^{3} + sin (x) + C

\frac{d}{d x} (e^{3 x s i n (2 x)})

\frac{\partial}{\partial x} (\frac{x}{1 + x ^{2} y ^{2}})

\int x (x + 7)^{6} d x

\frac{d}{d x} (\frac{x ^{2} - 5 x + 3}{x})

\frac{d}{d x} (4 x^{2} + 5 x + 3)

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