What is the integral of-2sin(x) ?

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

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integral of-2sin(x)

\int - 2 sin (x) d x

2 cos (x) + C

Solution steps

\int - 2 sin (x) d x

Take the constant out:

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

= - 2 \cdot \int sin (x) d x

Use the common integral:

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

= - 2 (- cos (x))

Simplify

= 2 cos (x)

Add a constant to the solution

= 2 cos (x) + C

f (x) = 2 x^{4} - 5 x^{\frac{7}{2}} + 3

\int 0.5 ln (x) d x

x \to 1 lim (x^{2} + 4 x + 3)

\int_{0}^{4} x - \frac{x}{2} d x

4 s - 1