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Popular >

integral of csc(y)

Solution

\int csc (y) d y

Solution

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

Solution steps

\int csc (y) d y

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{y}{2})

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

Add a constant to the solution

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

Popular Examples

tangent of y=(8x)/((x^2+1))tangent of

y = \frac{8 x}{( x ^{2} + 1 )}

integral of e^{ln(x^5)}

\int e^{l n (x^{5})} d x

expand (2x-3)^4 expand

(2 x - 3)^{4}

derivative of e^xln(x^5)

\frac{d}{d x} (e^{x} ln (x^{5}))

x^{^{'}} + x = e^{t}

Frequently Asked Questions (FAQ)

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