What is the integral of-cos(x) ?

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

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integral of-cos(x)

\int - cos (x) d x

- sin (x) + C

Solution steps

\int - cos (x) d x

Take the constant out:

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

= - \int cos (x) d x

Use the common integral:

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

= - sin (x)

Add a constant to the solution

= - sin (x) + C

x^{4} sin (x) tan (x)

x \to 4 lim (\frac{x + 5 - 3}{x - 4})

\frac{d}{d x} (x^{2} n)

f (x) = 5 + 5 x^{2} - 2 x^{3}, at x = 1