What is the integral of 5cos(x) ?

The integral of 5cos(x) is 5sin(x)+C

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integral of 5cos(x)

\int 5 cos (x) d x

5 sin (x) + C

Solution steps

\int 5 cos (x) d x

Take the constant out:

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

= 5 \cdot \int cos (x) d x

Use the common integral:

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

= 5 sin (x)

Add a constant to the solution

= 5 sin (x) + C

x^{2} + 2 y^{2} = x y y^{^{'}}

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

y = e^{7 x} + 7 x e^{7 x}

f (x) = 6 e^{- 0.6 x}, at x = 4

\int (y - 1) d y