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 ![]()
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2.2 Given
and the point (1,7) satisfies the equation, find y.
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2.3 Given
and
find
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2.4 Given y`=3x²+1 and when x = 2 then y = 5, find y
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2.5 Given y`` = cos(x) , y` = 2 when x =
and y = π when x =
Find y
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