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Popular >

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

Solution

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

Solution

20

Solution steps

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

\int_{1}^{5} 2 x d x = 24

\int_{1}^{5} 1 d x = 4

= 24 - 4

Simplify

= 20

Popular Examples

integral of (3x)/2

\int \frac{3 x}{2} d x

integral of (x^2)/((81+x^2)^2)

\int \frac{x ^{2}}{( 81 + x ^{2} ) ^{2}} d x

d/(dt)(ln(1+t^2))

\frac{d}{d t} (ln (1 + t^{2}))

limit as x approaches 0 of ln(5)cos(x)

x \to 0 lim (ln (5) cos (x))

derivative of 3x^3e^x

\frac{d}{d x} (3 x^{3} e^{x})

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of (2x-1) ?
The integral from 1 to 5 of (2x-1) is 20