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Popular >

integral from 3 to 1 of x

Solution

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

Solution

- 4

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{3}

= - [\frac{x ^{2}}{2}]_{1}^{3}

Compute the boundaries:

4

= - 4

Popular Examples

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\int_{0}^{π} cos (x + y) d x

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

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\int_{1}^{10} \frac{4}{x} d x

integral from 1 to 4 of 7

\int_{1}^{4} 7 d x

integral from 0 to pi/4 of 9sec(θ)tan(θ)

\int_{0}^{\frac{π}{4}} 9 sec (θ) tan (θ) d θ

Frequently Asked Questions (FAQ)

What is the integral from 3 to 1 of x ?
The integral from 3 to 1 of x is -4