What is the integral of-cos(t) ?

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

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integral of-cos(t)

\int - cos (t) d t

- sin (t) + C

Solution steps

\int - cos (t) d t

Take the constant out:

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

= - \int cos (t) d t

Use the common integral:

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

= - sin (t)

Add a constant to the solution

= - sin (t) + C

\int \frac{x ^{2}}{( x ^{2} - 1 ) ^{3}} d x

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\int x os (2 x) d x

\frac{d}{d x} (a sin (b x + c) + d)