Symmetrical Areas - Page 4

Questions
  • How do you evaluate #\int \frac { 1} { x ^ { 2} + y ^ { 2} }#?
  • How do you evaluate #\int _ { 1} ^ { 3} \int _ { 1} ^ { 4} ( x ^ { 2} - y ) d y d x#?
  • How do I find the volume of this integral?
  • An open topped rectangular box with a square base has a surface area of 10,000 #cm^2#. What are the dimensions of the box that make its volume a maximum and what is this maximum volume?
  • How do you evaluate by completing the square #int_-1^0dx/sqrt(1-2x-x^2)#?