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}

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