What is the integral of cos(θ)+sin(θ) ?

The integral of cos(θ)+sin(θ) is sin(θ)-cos(θ)+C

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integral of cos(θ)+sin(θ)

\int cos (θ) + sin (θ) d θ

sin (θ) - cos (θ) + C

Solution steps

\int cos (θ) + sin (θ) d θ

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cos (θ) d θ + \int sin (θ) d θ

\int cos (θ) d θ = sin (θ)

\int sin (θ) d θ = - cos (θ)

= sin (θ) - cos (θ)

Add a constant to the solution

= sin (θ) - cos (θ) + C

\frac{d}{d x} (\frac{2 x}{x ^{2} + 9})

\int_{0}^{1} x sin (\frac{nπ x}{2}) d x

x \to y lim (x - y)

x \to - 1 lim (2 - x)

f (x) = (x - 2) (3 - 2 x) (6 - x)

What is the integral of cos(θ)+sin(θ) ?
The integral of cos(θ)+sin(θ) is sin(θ)-cos(θ)+C