What is the integral of 3cos(x) ?

The integral of 3cos(x) is 3sin(x)+C

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integral of 3cos(x)

\int 3 cos (x) d x

3 sin (x) + C

Solution steps

\int 3 cos (x) d x

Take the constant out:

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

= 3 \cdot \int cos (x) d x

Use the common integral:

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

= 3 sin (x)

Add a constant to the solution

= 3 sin (x) + C

\int \frac{x + 6}{x ^{3} + 3 x} d x

x d x + y e^{- x} d y = 0

\int (\frac{x ^{2}}{9 - x ^{2}}) d x

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

\int 4 x^{2} e^{x^{3}} d x