en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of tan(x)+1

Solution

\int tan (x) + 1 d x

Solution

- ln ∣ cos (x) ∣ + x + C

Solution steps

\int tan (x) + 1 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 tan (x) d x + \int 1 d x

\int tan (x) d x = - ln ∣ cos (x) ∣

\int 1 d x = x

= - ln ∣ cos (x) ∣ + x

Add a constant to the solution

= - ln ∣ cos (x) ∣ + x + C

Popular Examples

integral of (x^2+2x)/(sqrt(1-x))

\int \frac{x ^{2} + 2 x}{1 - x} d x

integral of (tan^3(ln(x))sec^6(ln(x)))/x

\int \frac{tan ^{3} ( ln ( x ) ) sec ^{6} ( ln ( x ) )}{x} d x

integral of (5x-7)/(2x^2-3x+7)

\int \frac{5 x - 7}{2 x ^{2} - 3 x + 7} d x

integral of 1/((2x-3)^3)

\int \frac{1}{( 2 x - 3 ) ^{3}} d x

integral of 2te^{t^2}

\int 2 t e^{t^{2}} d t

Frequently Asked Questions (FAQ)

What is the integral of tan(x)+1 ?
The integral of tan(x)+1 is -ln|cos(x)|+x+C