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Popular >

integral from-5 to 7 of (2x-1)

Solution

\int_{- 5}^{7} (2 x - 1) d x

Solution

12

Solution steps

\int_{- 5}^{7} 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_{- 5}^{7} 2 x d x - \int_{- 5}^{7} 1 d x

\int_{- 5}^{7} 2 x d x = 24

\int_{- 5}^{7} 1 d x = 12

= 24 - 12

Simplify

= 12

Popular Examples

integral from 0 to 1 of (1+e^x)/(e^x+x)

\int_{0}^{1} \frac{1 + e ^{x}}{e ^{x} + x} d x

integral from 1 to 3 of 6/(x^3)

\int_{1}^{3} \frac{6}{x ^{3}} d x

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

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

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from-5 to 7 of (2x-1) ?
The integral from-5 to 7 of (2x-1) is 12