Sunday

April 20, 2014

April 20, 2014

Posted by **flo** on Friday, December 9, 2011 at 2:42pm.

- integral calculus -
**Steve**, Friday, December 9, 2011 at 3:25pmNote that you have Integral(tanh(x) dx)

= Integral (sinh(x)/cosh(x) dx)

let u = cosh(x)

du = sinh(x) dx

and you have Integral(du/u) = ln(u) = ln(cosh(x)) = ln(e^x + e^-x) + C

Equivalently, let u = e^x + e^-x

Then du = e^x - e^-x du

and you have du/u

**Related Questions**

Calculus II - Evaluate using u-substitution: Integral of: 4x(tan(x^2))dx ...

Math/Calculus - How would I solve the following integral with the substitution ...

Calculus - int(dx/(x^2+9)) u = x/3 Use the indicated substitution (above) to ...

Calculus II/III - A. Find the integral of the following function. Integral of (x...

Calculus - Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if ...

math - Evaluate the following indefinite integral by using the given ...

Calculus - I have two questions, because I'm preparing for a math test on monday...

math - Evaluate the following indefinite integral by using the given ...

calculus - Evaluate the Integral 1. integral of (x^9+7x^6-1)/x^8 dx 2. integral...

Calculus - Evaluate the Integral 1. integral of (x^9+7x^6-1)/x^8 dx 2. integral ...