What is the integral from 0 to t of 5 ?

The integral from 0 to t of 5 is 5t

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integral from 0 to t of 5

\int_{0}^{t} 5 d t

5 t

Solution steps

\int_{0}^{t} 5 d t

Integral of a constant:

\int a d x = a x

= [5 t]_{0}^{t}

Compute the boundaries:

5 t

= 5 t

\int_{0}^{1} e^{- x} - e^{x} d x

\int_{0}^{1} 2 π x (x - x^{4}) d x

\int_{- 1}^{1} (y^{2} - 2 - e^{y}) d y

\int_{1}^{2} (x^{3} - 3 x^{2} + 2 x) d x

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