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Popular >

integral from 2 to 0 of x

Solution

\int_{2}^{0} x d x

Solution

- 2

Solution steps

\int_{2}^{0} x d x

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

= - \int_{0}^{2} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{2}

= - [\frac{x ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= - 2

Popular Examples

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

\int_{1}^{2} 2 x (x^{2} + 1) d x

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

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

integral from 0 to 7 of sqrt(7x)

\int_{0}^{7} 7 x d x

integral from 0 to y of 4/(x^2+y^2)

\int_{0}^{y} \frac{4}{x ^{2} + y ^{2}} d x

integral from 0 to pi of sin(nt)

\int_{0}^{π} sin (n t) d t

Frequently Asked Questions (FAQ)

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