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Popular >

integral of csc(θ)+3

Solution

\int csc (θ) + 3 d θ

Solution

ln tan (\frac{θ}{2}) + 3 θ + C

Solution steps

\int csc (θ) + 3 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 csc (θ) d θ + \int 3 d θ

\int csc (θ) d θ = ln tan (\frac{θ}{2})

\int 3 d θ = 3 θ

= ln tan (\frac{θ}{2}) + 3 θ

Add a constant to the solution

= ln tan (\frac{θ}{2}) + 3 θ + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of csc(θ)+3 ?
The integral of csc(θ)+3 is ln|tan(θ/2)|+3θ+C