What is the integral from 0 to t of x ?

The integral from 0 to t of x is (t^2)/2

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integral from 0 to t of x

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

\frac{t ^{2}}{2}

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{t ^{2}}{2}

= \frac{t ^{2}}{2}

\frac{d}{d x} (cos (3 x^{7} + 2))

\int sec (4 x) d x

\frac{d}{d x} (a cos (x) - b sin (x))

\frac{d}{d x} (\frac{24}{( x - 1 ) ^{5}})

(- 4, - 9), (7, 7)

What is the integral from 0 to t of x ?
The integral from 0 to t of x is (t^2)/2