en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of 2x+1

Solution

\int_{0}^{4} 2 x + 1 d x

Solution

20

Solution steps

\int_{0}^{4} 2 x + 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_{0}^{4} 2 x d x + \int_{0}^{4} 1 d x

\int_{0}^{4} 2 x d x = 16

\int_{0}^{4} 1 d x = 4

= 16 + 4

Simplify

= 20

Popular Examples

integral from 0 to pi/2 of 2cos^2(θ)

\int_{0}^{\frac{π}{2}} 2 cos^{2} (θ) d θ

integral from 0 to 2 of 1-x^2

\int_{0}^{2} 1 - x^{2} d x

integral from 0 to 5/8 of 1/(64x^2+25)

\int_{0}^{\frac{5}{8}} \frac{1}{64 x ^{2} + 25} d x

integral from 1 to 4 of (x+1/x)^2

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

integral from 0 to infinity of cos(3x)

\int_{0}^{\infty} cos (3 x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 2x+1 ?
The integral from 0 to 4 of 2x+1 is 20