What is the integral from 0 to 2 of f(t) ?

The integral from 0 to 2 of f(t) is f*2

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integral from 0 to 2 of f(t)

\int_{0}^{2} f (t) d t

f \cdot 2

Solution steps

\int_{0}^{2} f t d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= f \cdot \int_{0}^{2} t d t

Apply the Power Rule

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

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

Compute the boundaries:

2

= f \cdot 2

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What is the integral from 0 to 2 of f(t) ?
The integral from 0 to 2 of f(t) is f*2