What is the integral of xsec(x)tan(x) ?

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

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integral of xsec(x)tan(x)

\int x sec (x) 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

\frac{1}{2 + z}

n = 0 \sum \infty (- \frac{7}{8})^{n}

f (x) = 5 x, (5, 5)

x \to 2 lim ([x^{2} f (x)])

f (x) = - 3 x^{2}, at x = 1

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