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Popular >

integral from 1 to 3 of-1/2 x+5

Solution

\int_{1}^{3} - \frac{1}{2} x + 5 d x

Solution

8

Solution steps

\int_{1}^{3} - \frac{1}{2} x + 5 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} \frac{1}{2} x d x + \int_{1}^{3} 5 d x

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

\int_{1}^{3} 5 d x = 10

= - 2 + 10

Simplify

= 8

Popular Examples

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\int_{5}^{11} (5 - x) (x - 11) d x

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\int_{1}^{9} 2 x d x

integral from 0 to 1 of 3sin(npix)

\int_{0}^{1} 3 sin (nπ x) d x

integral from 0 to-1 of 3/(1+t^2)

\int_{0}^{- 1} \frac{3}{1 + t ^{2}} d t

integral from 1 to e^x of 3ln(x)

\int_{1}^{e^{x}} 3 ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of-1/2 x+5 ?
The integral from 1 to 3 of-1/2 x+5 is 8