# HARD Mathematic examination question

Danico
HARD!! Mathematic examination question

## Homework Statement

$$\int_0^2\int_π/3^π (x^2*\sec^3 x^3 -12\ /\sqrt{e^π+x^2 +2x})\,dx\,d(theta)$$

## Homework Equations

I could not find any relevant questions on the web, however this is simply a question from an exam written the 14th of October 2013 regarding multiple integrals

## The Attempt at a Solution

I attempted to use trig substitution, substituting x=tan(theta), dx=sec^2(theta) d(theta)
to no progress I gave up ... then I wondered whether i should have subsituted u=π-x ∴ x=π-u
but this led to bigger problems... I have sincerely attempted to solve this problem for a day now, please help, I would trully appreciate it...

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