Integration

Finding C

If you are given the derivative of an equation and a point that satisfies that equation, you need to integrate (which will leave you with a c) and then substitute in the variables to find the unknown c.

For example:

2.1   Find the equation of the line with slope = 2 that passes through (1,7).
       If slope = 2 then picture
       picture
       picture
       picture
       picture
       picture

2.2   Given picture and the point (1,7) satisfies the equation, find y.
       picture
       picture
       picture
       picture
       picture

2.3   Given picture  and picturefind picture 
       picture
       picture
       picture
       picture
       picture
       picture
       picture
       picture
       picture

2.4   Given y`=3x²+1 and when x = 2 then y = 5, find y
       picture 
       picture
       picture
       picture
       picture

2.5   Given y`` = cos(x) , y` = 2 when x = picture and y = π when x = picture Find y
       picture 
       picture
       picture
       picture
       picture
       picture
       picture
       picture 
       picture
       picture
       picture
       picture
       picture