How can we use adaptive quadrature to approximate the following integral to $10^{-5}$?

$$\int_0^{\pi/2}(6\cos4x+4\sin6x)e^x\,dx$$

Thanks

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Do you want an algorithm, or want someone to point you to a software package that you can use to actually compute it? In the event of the latter, what's your favorite language? I can suggest solutions in C/C++, Matlab, and Python. –  Jerry Gagelman Mar 4 '12 at 14:08
can you do this by hand, or use Matlab program? Thanks –  James R. Mar 4 '12 at 19:06
Or the free alternative, GNU Octave: gnu.org/software/octave –  dls Mar 4 '12 at 19:40
If you have access to Matlab, just use the quadl function: http://www.mathworks.com/help/techdoc/ref/quad.html