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Popular >

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

Solution

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

Solution

2

Solution steps

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

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

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

= 8 - 6

Simplify

= 2

Graph

Popular Examples

integral from 1 to 6 of 2x+3

\int_{1}^{6} 2 x + 3 d x

integral from 0 to infinity of 5xe^{-5x}

\int_{0}^{\infty} 5 x e^{- 5 x} d x

integral from 3 to 5 of x/(sqrt(x^2-9))

\int_{3}^{5} \frac{x}{x ^{2} - 9} d x

integral from 0 to y of 6(1-y)

\int_{0}^{y} 6 (1 - y) d y

integral from pi to 0 of (sin(x)-3)^2

\int_{π}^{0} (sin (x) - 3)^{2} d x

Frequently Asked Questions (FAQ)

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