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What is the integral of a summation?
The main take-away of this video, though it is not explicitly stated, is that the integral of the sum of two functions is equal to the sum of the integrals of each function, that is: (f(x) + g(x))DX = f(x)DX + g(x)DX. (f(x) + g(x))DX = f(x)DX + g(x)DX.
How do you find the integral of a Riemann sum?
0:37 6:16 Suggested clip Calculating a Definite Integral Using Riemann Sums — Part 1 YouTubeStart of suggested client of suggested clip Calculating a Definite Integral Using Riemann Sums — Part 1
How do you evaluate power series?
4:30 6:07 Suggested clip Worked example: cosine function from power series | Series | AP YouTubeStart of suggested client of suggested clip Worked example: cosine function from power series | Series | AP
How do you integrate by parts?
Choose u and v. Differentiate u: u' Integrate v: v DX. Put u, u' and v DX into: UV DX u' (v DX) DX. Simplify and solve.
Can you always use integration by parts?
Integration by parts is for functions that can be written as the product of another function and a third function's derivative. A good rule of thumb to follow would be to try u-substitution first, and then if you cannot reformulate your function into the correct form, try integration by parts.
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