Re: MX2 Integration Marathon
Here is another option for a solution:
http://www.symbolab.com/solutions/inequalities?query=%5Cint_%7B0%7D%5E%7B1%7D%20x%5E%7B3%7D%5Csqrt%7B1-x%5E%7B2%7D%7Ddx
Answer is -1<x<0
You can check out explanation here: http://www.symbolab.com/solutions/inequalities?query=%5Cfrac%7B1%7D%7Bx%7D%20%20%3C%20%5Cfrac%7B1%7D%7Bx%2B1%7D
Answer is 28.
You can check out this step by step expansion: http://www.symbolab.com/solutions/expand?query=Expand%20%5Cleft(1%2B2x%2B3x%5E%7B2%7D%5Cright)%5Cleft(1-%5Cfrac%7B2%7D%7Bx%7D%5Cright)%5E%7B5%7D
Here is a step by step solution to #2:
http://www.symbolab.com/solutions/trigonometric_equations?query=%5Csin%5Cleft(%CE%B8%5Cright)-%5Ccos%5Cleft(%CE%B8%5Cright)%3D1%2C%200%5Cle%20%CE%B8%5Cle%202%5Cpi
You can check out step by step proof here:
http://www.symbolab.com/solutions/proving_identities?query=Prove%20%5Cfrac%7B1%2B%5Csin%5Cleft(2%CE%B1%5Cright)%7D%7B1%2B%5Ccos%5Cleft(2%CE%B1%5Cright)%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft(1%2B%5Ctan%5Cleft(%CE%B1%5Cright)%5Cright)%5E%7B2%7D
Here is a step by step solution:
http://www.symbolab.com/solutions/derivatives?query=%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft(3%5E%7B%5Cleft(4x-2%5Cright)%7D%5Cright)
Here is a step by step solution to (c) the integration question:
http://www.symbolab.com/solutions/integrals?query=%5Cint%5Cfrac%7B2x%2B1%7D%7B3x%5E%7B2%7D%2B3x-2%7Ddx
Here is a step by step solution:
http://www.symbolab.com/solutions/trigonometric_equations?query=%5Csqrt%7B3%7D%5Ctan%5Cleft(3%CE%B8%5Cright)%2B1%3D0%2C%20-%5Cpi%5Cle%20%CE%B8%5Cle%20%5Cpi
You can also check out this step by step solution:
http://www.symbolab.com/solutions/quadratic_equations?query=x%5E%7B2%7D%20%2B%20(k%20%2B%201)x%20%2B%20(k%2B1%2F4)%20%3D%200