CIE A Level Maths: Pure 1復(fù)習(xí)筆記6.1.2 Integrating Powers of x
Integrating Powers of x
What is integration?
- ?Integration is the?inverse?('opposite') of differentiation
How do I integrate powers of x?
- ?For each term …
- … increase the power (of x) by 1
- … divide by the new power
- This does not apply when the original power is -1
- the new power would be 0 and division by 0 is undefined
How do I find c?
- STEP 1? Rewrite the function into a more easily?integrable?form
- Each term needs to be a power of?x?(or a constant)
- STEP 2? Integrate each term and remember “+c”
- Increase power by 1 and divide by new power
- STEP 3? Substitute the coordinates of a given point in to form an equation in?c
- Solve the equation to find?c
Worked Example
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