What is the integral from e to x of sin(t) ?

The integral from e to x of sin(t) is -cos(x)+cos(e)

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integral from e to x of sin(t)

\int_{e}^{x} sin (t) d t

- cos (x) + cos (e)

Solution steps

\int_{e}^{x} sin (t) d t

Use the common integral:

\int sin (t) d t = - cos (t)

= [- cos (t)]_{e}^{x}

Compute the boundaries:

- cos (x) + cos (e)

= - cos (x) + cos (e)

\int_{0}^{1.2} 3 3 x + 4 d x

\int_{0}^{\frac{1}{2}} x (1 - 4 x^{2})^{10} d x

\int_{2}^{\infty} t e^{- s t} d t

\int_{- 1}^{0} 3 x + 4 d x

\int_{0}^{2} (6 t^{2} i - 4 t j + 3 k) d t

What is the integral from e to x of sin(t) ?
The integral from e to x of sin(t) is -cos(x)+cos(e)