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Popular >

integral from 1 to 3 of 2x-1

Solution

\int_{1}^{3} 2 x - 1 d x

Solution

6

Solution steps

\int_{1}^{3} 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_{1}^{3} 2 x d x - \int_{1}^{3} 1 d x

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 1 d x = 2

= 8 - 2

Simplify

= 6

Popular Examples

integral from 1 to 2 of (x+2)

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

integral from 0 to 3 of |3x-8|

\int_{0}^{3} ∣ 3 x - 8 ∣ d x

integral from 2x to x^2 of cos(t)sin(t)

\int_{2 x}^{x^{2}} cos (t) sin (t) d t

integral from 0 to 1-x of ((1-x-y)^2)/2

\int_{0}^{1 - x} \frac{( 1 - x - y ) ^{2}}{2} d y

integral from 0 to 2 of x^2+x+1

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 2x-1 ?
The integral from 1 to 3 of 2x-1 is 6