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The integration by parts rule looks like this:
∫ u * v' dx = u * v - ∫ ( v * u' ) dx
Hence in this example, we want to make our u = x and v' = sinx
So we now n...
We are looking for dy/dx, and in this question, the key rule to remember is the chain rule.
Therefore the first thing to do is the easy step, take the 3 down and minus 1 from i...
Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, ab = 1/2 =0.5 and a^2 ...
A geometric series is a series with a constant ratio between successive terms.
An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of...
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