What is the integral of 4x-15x^2+e^x ?

The integral of 4x-15x^2+e^x is 2x^2-5x^3+e^x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x-15x^2+e^x

\int 4 x - 15 x^{2} + e^{x} d x

2 x^{2} - 5 x^{3} + e^{x} + C

Solution steps

\int 4 x - 15 x^{2} + e^{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 4 x d x - \int 15 x^{2} d x + \int e^{x} d x

\int 4 x d x = 2 x^{2}

\int 15 x^{2} d x = 5 x^{3}

\int e^{x} d x = e^{x}

= 2 x^{2} - 5 x^{3} + e^{x}

Add a constant to the solution

= 2 x^{2} - 5 x^{3} + e^{x} + C

\frac{\partial}{\partial y} (2 x^{3})

\int \frac{4 x}{( x - 1 ) ^{2} ( x + 1 )} d x

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

f (x) = (sin (x))^{2}

x^{2} + 1, 0, 2

What is the integral of 4x-15x^2+e^x ?
The integral of 4x-15x^2+e^x is 2x^2-5x^3+e^x+C