# Problems On Integrals

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**Problems on Integrals-1:**

**7. **Find the area of the circle x^{2} y^{2} = a^{2}. by using the double integrals.

**Solution:** Since the circle is symmetric about the coordinates axes, area of circle is 4 times the area OAB as shown in the figure. For the region OAB, y varies from 0 to and x varies from 0 to a.

**8. **Change the order of integration and hence evaluate

**Solution:** We have

By changing the order of integrations we get;