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Popular >

integral of _{c}^

Solution

\int_{c}^{d} x d x

Solution

\frac{d ^{2} - c ^{2}}{2}

Solution steps

\int_{c}^{d} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{c}^{d}

= [\frac{x ^{2}}{2}]_{c}^{d}

Compute the boundaries:

\frac{d ^{2}}{2} - \frac{c ^{2}}{2}

= \frac{d ^{2}}{2} - \frac{c ^{2}}{2}

Simplify

= \frac{d ^{2} - c ^{2}}{2}

Popular Examples

integral from 1 to 4 of 1/6

\int_{1}^{4} \frac{1}{6} d x

integral from 0.5 to 1 of 3x^4+1/(2x)-5

\int_{0.5}^{1} 3 x^{4} + \frac{1}{2 x} - 5 d x

integral from 0 to 3 of x(3x-x^2)

\int_{0}^{3} x (3 x - x^{2}) d x

integral from-1 to 1 of |5^x-2^x|

\int_{- 1}^{1} ∣ 5^{x} - 2^{x} ∣ d x

integral from 0 to a of e^{-ax}

\int_{0}^{a} e^{- a x} d x

Frequently Asked Questions (FAQ)

What is the integral of _{c}^ ?
The integral of _{c}^ is (d^2-c^2)/2