en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x^3+3x^2

Solution

\int 4 x^{3} + 3 x^{2} d x

Solution

x^{4} + x^{3} + C

Solution steps

\int 4 x^{3} + 3 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 4 x^{3} d x + \int 3 x^{2} d x

\int 4 x^{3} d x = x^{4}

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

= x^{4} + x^{3}

Add a constant to the solution

= x^{4} + x^{3} + C

Graph

Popular Examples

integral of (cos(x))/(sqrt(2sin(x)))

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

limit as x approaches 0 of (1/(5x))-(1/(e^{5x)}-1)

x \to 0 lim ((\frac{1}{5 x}) - (\frac{1}{e ^{5 x}} - 1))

derivative of 3(5^x)derivative of

3 (5^{x})

integral from 0 to 2 of (2x-5)^2

\int_{0}^{2} (2 x - 5)^{2} d x

derivative of ((3x+2/(x-1))^7)

\frac{d}{d x} ((\frac{3 x + 2}{x - 1})^{7})

Frequently Asked Questions (FAQ)

What is the integral of 4x^3+3x^2 ?
The integral of 4x^3+3x^2 is x^4+x^3+C