What is the integral of 12cos(x) ?

The integral of 12cos(x) is 12sin(x)+C

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integral of 12cos(x)

\int 12 cos (x) d x

12 sin (x) + C

Solution steps

\int 12 cos (x) d x

Take the constant out:

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

= 12 \cdot \int cos (x) d x

Use the common integral:

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

= 12 sin (x)

Add a constant to the solution

= 12 sin (x) + C

\int \frac{x ^{3} - 9 x ^{2} - 1}{x ^{2} ( x + 1 ) ( x - 2 )} d x

\frac{\partial}{\partial x} (e^{\frac{x y}{z ^{2}}})

y^{^{''}} = \frac{2 k}{1 - k}

\frac{d}{d x} (x^{2} ln ∣ x ∣)

d er i v a t i v e f (x) = \frac{x ^{2} + 2 x}{( x + 1 ) ^{2}}