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Popular >

integral from 1 to 0 of x

Solution

\int_{1}^{0} x d x

Solution

- \frac{1}{2}

+1

Decimal Notation

- 0.5

Solution steps

\int_{1}^{0} x d x

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

= - \int_{0}^{1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1}

= - [\frac{x ^{2}}{2}]_{0}^{1}

Compute the boundaries:

\frac{1}{2}

= - \frac{1}{2}

Popular Examples

integral from 2 to 6 of (3x+4)

\int_{2}^{6} (3 x + 4) d x

integral from 1 to 2 of (3x-7)(x-3)

\int_{1}^{2} (3 x - 7) (x - 3) d x

integral from 0 to 1 of e^{x+e^x}

\int_{0}^{1} e^{x + e^{x}} d x

integral from 2 to 5 of 3x+1

\int_{2}^{5} 3 x + 1 d x

integral from 0 to 2 of 3/8 x^2

\int_{0}^{2} \frac{3}{8} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 0 of x ?
The integral from 1 to 0 of x is -1/2