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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x(sec(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

4 x^{3} - 6 x^{2}

\int_{5}^{\infty} \frac{1}{x ^{2}} d x

\frac{d}{d x} (tan^{2} (x - 3))

\int_{1}^{2} \frac{4 x ^{2} - 1}{x} d x

\int \frac{x}{ln ( x )} d x

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