en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1+x^3

Solution

\int 1 + x^{3} d x

Solution

x + \frac{x ^{4}}{4} + C

Solution steps

\int 1 + x^{3} 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 1 d x + \int x^{3} d x

\int 1 d x = x

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

= x + \frac{x ^{4}}{4}

Add a constant to the solution

= x + \frac{x ^{4}}{4} + C

Popular Examples

tangent of f(x)=(x^2)/(x-3)tangent of

f (x) = \frac{x ^{2}}{x - 3}

derivative of e^{2x}cos(3x)derivative of

e^{2 x} cos (3 x)

tangent of f(x)=4tan(x),\at x= pi/3 tangent of

f (x) = 4 tan (x), at x = \frac{π}{3}

integral from 0 to 3 of pi(9-x^2)^2

\int_{0}^{3} π (9 - x^{2})^{2} d x

limit as x approaches 0+of (x^3+3)/x

x \to 0 + lim (\frac{x ^{3} + 3}{x})

Frequently Asked Questions (FAQ)

What is the integral of 1+x^3 ?
The integral of 1+x^3 is x+(x^4)/4+C