What is the integral from a to b of x ?

The integral from a to b of x is (b^2-a^2)/2

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integral from a to b of x

\int_{a}^{b} x d x

\frac{b ^{2} - a ^{2}}{2}

Solution steps

\int_{a}^{b} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{a}^{b}

= [\frac{x ^{2}}{2}]_{a}^{b}

Compute the boundaries:

\frac{b ^{2}}{2} - \frac{a ^{2}}{2}

= \frac{b ^{2}}{2} - \frac{a ^{2}}{2}

Simplify

= \frac{b ^{2} - a ^{2}}{2}

y^{2} - 2 x = 9, x - y = 3 [- 4.5, 8]

\frac{d}{d x} (ln (arctan (3 x^{3})))

\frac{d}{d x} (\frac{a}{x ^{2} + a ^{2}})

(1 + cos (t)) y^{^{'}} = (1 + e^{- y}) sin (t)

What is the integral from a to b of x ?
The integral from a to b of x is (b^2-a^2)/2