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Popular >

integral from 2 to 1 of x

Solution

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

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

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

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

= - \int_{1}^{2} x d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{3}{2}

= - \frac{3}{2}

Popular Examples

integral from pi to 2pi of cos(θ)

\int_{π}^{2 π} cos (θ) d θ

integral from-2 to 2 of sqrt(8-x^2)

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

integral from-1 to 1 of (z+1)^5

\int_{- 1}^{1} (z + 1)^{5} d z

integral from 1 to 2 of 1/(x^2-6x+9)

\int_{1}^{2} \frac{1}{x ^{2} - 6 x + 9} d x

integral from 0 to pi/3 of xtan^2(x)

\int_{0}^{\frac{π}{3}} x tan^{2} (x) d x

Frequently Asked Questions (FAQ)

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