What is the integral of-2cos(t) ?

The integral of-2cos(t) is -2sin(t)+C

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integral of-2cos(t)

\int - 2 cos (t) d t

- 2 sin (t) + C

Solution steps

\int - 2 cos (t) d t

Take the constant out:

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

= - 2 \cdot \int cos (t) d t

Use the common integral:

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

= - 2 sin (t)

Add a constant to the solution

= - 2 sin (t) + C

\frac{d}{d x} ((3 x + 5)^{3} - 5 x)

\frac{\partial}{\partial x} (x e^{(\frac{y}{x})})

\int \frac{1}{cos ^{2} ( b ) x} d x

x \to 2 lim (- 5)