en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 5 of (x^3+1)

Solution

\int_{1}^{5} (x^{3} + 1) d x

Solution

160

Solution steps

\int_{1}^{5} x^{3} + 1 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}^{5} x^{3} d x + \int_{1}^{5} 1 d x

\int_{1}^{5} x^{3} d x = 156

\int_{1}^{5} 1 d x = 4

= 156 + 4

Simplify

= 160

Graph

Popular Examples

integral from 0 to 1 of x^a

\int_{0}^{1} x^{a} d x

integral from 1 to 3 of 1/((x+1)^2)

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

integral from pi/3 to (2pi)/3 of sin(x)

\int_{\frac{π}{3}}^{\frac{2 π}{3}} sin (x) d x

integral from 0 to 4 of (8x-2x^2)

\int_{0}^{4} (8 x - 2 x^{2}) d x

integral from 0 to 4 of xsin(3x)

\int_{0}^{4} x sin (3 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of (x^3+1) ?
The integral from 1 to 5 of (x^3+1) is 160