Dec 20, 2014 · This doesn't seem to answer OP's question, which asks how to determing a trig or hyperbolic trig substitution is more appropriate (presumably when evaluating integrals), not …

It is hard to visualize the bounds of the substitution that will keep it positive but I think that is something I can just memorize from a table. So this is similar to u substitution except that I am …

The key issue is that both the trigonometric and the hyperbolic substitutions lead to simpler integrals, because the irrational integrand becomes a rational function of trigonometric or …

These comments apply to any trigonometric (or other) substitutions that involve choices or an apparent dependence of the post-substitution calculations on the choices.

Jul 15, 2020 · They call it "inverse substitution" because typically (i.e. before learning trig substitution), you use substitution by introducing a new variable via the substitution $$\text …

My friends say, it is some what difficult to know, which trigonometric function has to be substituted in the inverse trigonometric equations, to get the correct solution. So, I thought to take up t...

Trigonometric Substitution - Arc Length Ask Question Asked 12 years, 10 months ago Modified 12 years, 10 months ago

I've been learning integration in particular utilising trigonometric substitution. I understand all of it until the end, when I'm a bit confused about evaluating the integral in terms of the original

Jan 25, 2015 · Without reference to $\theta$ substitution two curves can be drawn one above x-axis and another below x-axis. For the former, area under curve is > 0, and for latter, < 0.

Sep 20, 2023 · Why does the method of trigonometric substitution using csc,cot,cos vs sin,tan,sec yield different answers when used on definite integrals?