What is the integral of tan^x(x ?

The integral of tan^x(x is (xtan^x(d))/(ln(tan(d)))-1/(ln^2(tan(d)))tan^x(d)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of tan^x(x

\int tan^{x} (d) x d x

\frac{x tan ^{x} ( d )}{ln ( tan ( d ) )} - \frac{1}{ln ^{2} ( tan ( d ) )} tan^{x} (d) + C

Solution steps

\int tan^{x} (d) x d x

Apply Integration By Parts

: \frac{x tan ^{x} ( d )}{ln ( tan ( d ) )} - \int \frac{tan ^{x} ( d )}{ln ( tan ( d ) )} d x

= \frac{x tan ^{x} ( d )}{ln ( tan ( d ) )} - \int \frac{tan ^{x} ( d )}{ln ( tan ( d ) )} d x

\int \frac{tan ^{x} ( d )}{ln ( tan ( d ) )} d x = \frac{1}{ln ^{2} ( tan ( d ) )} tan^{x} (d)

= \frac{x tan ^{x} ( d )}{ln ( tan ( d ) )} - \frac{1}{ln ^{2} ( tan ( d ) )} tan^{x} (d)

Add a constant to the solution

= \frac{x tan ^{x} ( d )}{ln ( tan ( d ) )} - \frac{1}{ln ^{2} ( tan ( d ) )} tan^{x} (d) + C

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

\int (x^{2} + y^{2}) d x

\int x d x

\int (x - 1) (2 x + 3) d x

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

What is the integral of tan^x(x ?
The integral of tan^x(x is (xtan^x(d))/(ln(tan(d)))-1/(ln^2(tan(d)))tan^x(d)+C