Calculus Answers

1. Find the area between the curves y= x^2-3x and y=x.

1. Find the area between the curve y= x^2-3x from x=0 to x=5.

Integration by parts

1. Integral of 2x tan^-1 (x) dx

2. Integral of x^2 (x+4)^5 dx

Integration by parts

1. Integral of x^3 e^4x dx
2. Integral of 2x E^2x dx

Integration by parts

1. Integral of 5 sin^-1 (x) dx

2. Integral of 2 lnx dx

Integration by parts

1. Integral of 5x sin4x dx

2. Integral of x lnx dx

Evaluate the definite integral

1. Integral of dx / fourth root of 1+x
upper: infinity
lower: 0

Evaluate the definite integral

1. Integral of dx / x^2
Upper: 2
Lower; -2

2. Integral of 2^x dx
upper; 0
lower: Negative infinity

Evaluate the definite integral

Integral of sin^6xcos^8xdx

upper is pi/2
lower is 0

A hockey team plays in an area with seating capacity of 15,000 spectators. with the ticket price set at 12 “dollars”, average attendance at recent games has been 11,000. A market survey indicates that for each dollar the ticket price is lowered, the average attendance will increase by 1000. What price should the owners of the team set as the ticket price to maximize their revenue from the ticket sales?