Integrating exp{-5cos(t)}: A Quick Guide to Finding the Solution

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[SOLVED] quick check please help

Homework Statement



integrate exp{-5cos(t)}


Homework Equations





The Attempt at a Solution



Is it -5sin(t)exp{-5cos(t)}?
 
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can sumone jus say yes or no, my mathematica aint working
 
No. And I doubt mathematica could integrate that either.
 
thanks didnt think so, just proved my tutor partner wrong lol thanks again
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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