What is the integral from 0 to t of tcos(x) ?

The integral from 0 to t of tcos(x) is tsin(t)

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integral from 0 to t of tcos(x)

\int_{0}^{t} t cos (x) d x

t sin (t)

Solution steps

\int_{0}^{t} t cos (x) d x

Take the constant out:

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

= t \cdot \int_{0}^{t} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= t [sin (x)]_{0}^{t}

Compute the boundaries:

sin (t)

= t sin (t)

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\int_{x^{2}}^{x^{7}} (2 t - 1)^{3} d t

\int_{2}^{1} (2 x^{3} - 2 x^{2} - 4 x) d x

What is the integral from 0 to t of tcos(x) ?
The integral from 0 to t of tcos(x) is tsin(t)