What is the integral of-25cos(x) ?

The integral of-25cos(x) is -25sin(x)+C

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integral of-25cos(x)

\int - 25 cos (x) d x

- 25 sin (x) + C

Solution steps

\int - 25 cos (x) d x

Take the constant out:

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

= - 25 \cdot \int cos (x) d x

Use the common integral:

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

= - 25 sin (x)

Add a constant to the solution

= - 25 sin (x) + C

\frac{9}{s ^{3} + 9 s ^{2} + 9 s}

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

\int 100 sin (500 x) d x

\frac{1}{8 x} \frac{d y}{d x} = y 4 x^{2} - 1

\int 5 - 0.04 x + 3 x^{2} d x