What is the integral of cos(x)-sin(x)+sec^2(x) ?

The integral of cos(x)-sin(x)+sec^2(x) is sin(x)+cos(x)+tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x)-sin(x)+sec^2(x)

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

sin (x) + cos (x) + tan (x) + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int cos (x) d x = sin (x)

\int sin (x) d x = - cos (x)

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

= sin (x) - (- cos (x)) + tan (x)

Simplify

= sin (x) + cos (x) + tan (x)

Add a constant to the solution

= sin (x) + cos (x) + tan (x) + C

\int 5 z d z

\int_{4}^{\infty} e^{- 3 x} d x

\frac{\partial}{\partial x} (\frac{x}{4})

\frac{5}{s ( s + 2 )}

\frac{d}{d x} (524.8 x^{0.75})

What is the integral of cos(x)-sin(x)+sec^2(x) ?
The integral of cos(x)-sin(x)+sec^2(x) is sin(x)+cos(x)+tan(x)+C