What is the integral of (4cos(x)) ?

The integral of (4cos(x)) is 4sin(x)+C

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integral of (4cos(x))

\int (4 cos (x)) d x

4 sin (x) + C

Solution steps

\int 4 cos (x) d x

Take the constant out:

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

= 4 \cdot \int cos (x) d x

Use the common integral:

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

= 4 sin (x)

Add a constant to the solution

= 4 sin (x) + C

\int \frac{2 x ^{2} + 3}{x ^{2} 4 - x ^{2}} d x

2 x^{- 1}

\int \frac{x + 2}{7 - 9 x ^{2}} d x

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\int 4 x^{3} x^{4} + 7 d x