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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 3 of |2x-x^2|

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

integral from 0 to pi of sin(x)*sin(nx)

\int_{0}^{π} sin (x) \cdot sin (n x) d x

integral from 0 to 1 of-x+1

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

integral from 0 to 1 of 4xf(x^2+1)

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

integral from 0 to pi/2 of (sin(x))/x

\int_{0}^{\frac{π}{2}} \frac{sin ( x )}{x} 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