What is the integral of-sin(t) ?

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

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integral of-sin(t)

\int - sin (t) d t

cos (t) + C

Solution steps

\int - sin (t) d t

Take the constant out:

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

= - \int sin (t) d t

Use the common integral:

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

= - (- cos (t))

Simplify

= cos (t)

Add a constant to the solution

= cos (t) + C

\frac{\partial ^{2}}{\partial x \partial y} (ln (3 x^{2} - y^{3} - 3))

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\int 2500 - x^{2} d x