What is the integral of x*sec(x)*tan(x) ?

The integral of x*sec(x)*tan(x) is xsec(x)-ln|tan(x)+sec(x)|+C

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integral of xsec(x)tan(x)

\int x \cdot sec (x) \cdot tan (x) d x

x sec (x) - ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int x sec (x) tan (x) d x

Apply Integration By Parts

: x sec (x) - \int sec (x) d x

= x sec (x) - \int sec (x) d x

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= x sec (x) - ln ∣ tan (x) + sec (x) ∣

Add a constant to the solution

= x sec (x) - ln ∣ tan (x) + sec (x) ∣ + C

\int \frac{3 x ^{5} + 1}{3 x - 3 x ^{5}} d x

ln (1 - x^{2})

\int (sin (2 x) + cos (2 x))^{2} d x

x^{- \frac{1}{2}}

y = 3 - x, y = 2 x^{2}, [0, 1]

What is the integral of x*sec(x)*tan(x) ?
The integral of x*sec(x)*tan(x) is xsec(x)-ln|tan(x)+sec(x)|+C