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Popular >

integral from 0 to 3 of 8-2x

Solution

\int_{0}^{3} 8 - 2 x d x

Solution

15

Solution steps

\int_{0}^{3} 8 - 2 x 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_{0}^{3} 8 d x - \int_{0}^{3} 2 x d x

\int_{0}^{3} 8 d x = 24

\int_{0}^{3} 2 x d x = 9

= 24 - 9

Simplify

= 15

Graph

Popular Examples

integral from 0 to 3 of (6x)/(1+x^2)

\int_{0}^{3} \frac{6 x}{1 + x ^{2}} d x

integral from 1 to 3 of 10x(x-1)^3

\int_{1}^{3} 10 x (x - 1)^{3} d x

integral from 3 to 9 of 7

\int_{3}^{9} 7 d x

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

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

integral from 1 to infinity of x^{1/2}

\int_{1}^{\infty} x^{\frac{1}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of 8-2x ?
The integral from 0 to 3 of 8-2x is 15