What is the integral of 2cos(θ) ?

The integral of 2cos(θ) is 2sin(θ)+C

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integral of 2cos(θ)

\int 2 cos (θ) d θ

2 sin (θ) + C

Solution steps

\int 2 cos (θ) d θ

Take the constant out:

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

= 2 \cdot \int cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= 2 sin (θ)

Add a constant to the solution

= 2 sin (θ) + C

5 e^{x} cos (x)

\frac{d}{d x} (- sin (\frac{2}{x + 1} - e^{x^{2}} \cdot 2 x))

{\frac{3 !}{s ^{4} ( s + 2 ) ^{2}}}

θ tan (θ)

\int \frac{2 x ^{3} - x ^{2} + 2 x + 4}{x ^{2} + 1} d x