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Use fundamental theorem of calculus:

Int(pi/2_pi) of e^(sin(q))*cos(q)dq

  • Calculus -

    u-substitute u=sin(q). du = cos(q) dq.
    from u=sin(pi)=0 to u=sin(2pi)=0

    int(e^u du) from 0 to 0

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