evaluate-1-1-pi-0-pi-e-i-t-sin-t-dt-2-0-a-0-a-u-2-v-2-6u-9-dudv-3-0-pi-2-e-cos-t-cos-2t-sin-t-dt-4-sin-3z-z-2-2z-5-dz-5-0-2pi

Question Number 213948 by issac last updated on 22/Nov/24

evaluate .

1 . \frac{1}{π} \int_{0}^{π} e^{- i (t - \sin (t))} d t

2 . \int_{0}^{a} \int_{0}^{a} \sqrt{u^{2} + v^{2} - 6 u + 9} d u d v

3 . \int_{0}^{π / 2} e^{\cos (t)} \cos (2 t + \sin (t)) d t

4 . \int_{- \infty}^{\infty} \frac{\sin (3 z)}{z^{2} + 2 z + 5} d z

5 . \int_{0}^{2 π} \frac{1}{2 + \cos (θ)} d θ