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Popular >

integral from 1 to 3 of (3-x)

Solution

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

Solution

2

Solution steps

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

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

\int_{1}^{3} x d x = 4

= 6 - 4

Simplify

= 2

Graph

Popular Examples

integral from 1 to 3 of sqrt(1+x^2)

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

integral from 0 to sqrt(pi of)xsin(x)

\int_{0}^{π} x sin (x) d x

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

\int_{- 3}^{3} (x - 3) 9 - x^{2} d x

integral from 2x^2 to 1+x^2 of x+2y

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

integral from 3 to 9 of x^2

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

Frequently Asked Questions (FAQ)

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