What is the integral of 7sin(t) ?

The integral of 7sin(t) is -7cos(t)+C

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integral of 7sin(t)

\int 7 sin (t) d t

- 7 cos (t) + C

Solution steps

\int 7 sin (t) d t

Take the constant out:

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

= 7 \cdot \int sin (t) d t

Use the common integral:

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

= 7 (- cos (t))

Simplify

= - 7 cos (t)

Add a constant to the solution

= - 7 cos (t) + C

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