What is the integral of xsec^2(x) ?

The integral of xsec^2(x) is xtan(x)+ln|cos(x)|+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of xsec^2(x)

\int x sec^{2} (x) d x

x tan (x) + ln ∣ cos (x) ∣ + C

Solution steps

\int x sec^{2} (x) d x

Apply Integration By Parts

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

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

\int tan (x) d x = - ln ∣ cos (x) ∣

= x tan (x) - (- ln ∣ cos (x) ∣)

Simplify

= x tan (x) + ln ∣ cos (x) ∣

Add a constant to the solution

= x tan (x) + ln ∣ cos (x) ∣ + C

\int \frac{sec ^{2} ( 3 ) t}{t} d t

y = \frac{6 x ^{2} + 2 x + 2}{x}

\frac{d}{d x} (ln (4 x^{3} - x^{2}))

\frac{\partial}{\partial y} (x e^{x - y})

y^{^{''}} + 4 y^{^{'}} + 24 y = 0

What is the integral of xsec^2(x) ?
The integral of xsec^2(x) is xtan(x)+ln|cos(x)|+C