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Popular >

integral of csc(z)

Solution

\int csc (z) d z

Solution

ln tan (\frac{z}{2}) + C

Solution steps

\int csc (z) d z

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = tan (\frac{z}{2})

= ln tan (\frac{z}{2})

Add a constant to the solution

= ln tan (\frac{z}{2}) + C

Graph

Popular Examples

integral of 5^{x+3}

\int 5^{x + 3} d x

integral of 3x^2+8x+9

\int 3 x^{2} + 8 x + 9 d x

integral of 5^{2x-3}

\int 5^{2 x - 3} d x

integral of (3-5x)sin(4x)

\int (3 - 5 x) sin (4 x) d x

integral of (1-v)/(v^2-4)

\int \frac{1 - v}{v ^{2} - 4} d v

Frequently Asked Questions (FAQ)

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