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Popular >

integral from 0 to 3 of (4-2x)

Solution

\int_{0}^{3} (4 - 2 x) d x

Solution

3

Solution steps

\int_{0}^{3} 4 - 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} 4 d x - \int_{0}^{3} 2 x d x

\int_{0}^{3} 4 d x = 12

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

= 12 - 9

Simplify

= 3

Graph

Popular Examples

integral from 2 to 4 of 2^{3x}

\int_{2}^{4} 2^{3 x} d x

integral from 0 to 6 of (4t-1)^2

\int_{0}^{6} (4 t - 1)^{2} d t

integral from 3 to 6 of (2x-5)

\int_{3}^{6} (2 x - 5) d x

integral from 0 to 1 of 1/(x^2-4x+5)

\int_{0}^{1} \frac{1}{x ^{2} - 4 x + 5} d x

integral from 1 to 2 of 1/2 y

\int_{1}^{2} \frac{1}{2} y d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (4-2x) ?
The integral from 0 to 3 of (4-2x) is 3