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

x \to 0 lim (\frac{1 - e ^{- x}}{x})

\frac{d}{d x} (\frac{x ^{2}}{x ^{3}})

e^{x} (x^{2} + 1) (x + 4)

x^{\frac{1}{3}}, 1

y = - x, y = - x^{2} + e x

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