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View Full Version : integral of tanh^3 x sech x dx


chobitz
Jul 28, 2012, 04:08 AM
integral of tanh^3 x sech x dx

chobitz
Jul 28, 2012, 04:08 AM
Can someone please help me with this problem, I have been trying to solve this for hours now and still no luck :(

ebaines
Jul 29, 2012, 12:56 PM
Try using integration by parts


\int udv = uv-\int v du


with

u = tanh^2 x, \ \ dv= sinhx/cosh^2 x.

You will have to apply a couple of identities such as cosh^2x -sinh^2x =1. Post your attempt and we'll help you along if you get stuck.