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Popular >

integral from-1 to 3 of (2x-1)

Solution

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

Solution

4

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 = 4

= 8 - 4

Simplify

= 4

Graph

Popular Examples

integral from-1 to 2 of |2x-1|

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

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

\int_{- 1}^{1} \frac{x}{2 + x ^{2}} d x

integral from-7 to 1 of (-x^2-3x)

\int_{- 7}^{1} (- x^{2} - 3 x) d x

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

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

integral from 0 to 5 of x^2+4

\int_{0}^{5} x^{2} + 4 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 4