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 3 of (1+3x)

Solution

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

Solution

16

Solution steps

\int_{- 1}^{3} 1 + 3 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_{- 1}^{3} 1 d x + \int_{- 1}^{3} 3 x d x

\int_{- 1}^{3} 1 d x = 4

\int_{- 1}^{3} 3 x d x = 12

= 4 + 12

Simplify

= 16

Graph

Popular Examples

integral of 1/(xsqrt(10x+49))

\int \frac{1}{x 10 x + 49} d x

integral of (x^3+2x-3)/(sqrt(x))

\int \frac{x ^{3} + 2 x - 3}{x} d x

derivative of 2x^2+3x+1

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

integral of (5x)/(16-4x^2)

\int \frac{5 x}{16 - 4 x ^{2}} d x

integral from 12 to 30 of 1/30

\int_{12}^{30} \frac{1}{30} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (1+3x) ?
The integral from-1 to 3 of (1+3x) is 16