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Mathematical Formulae
(a + b)2 = a2 + b2 + 2ab
(a - b)2 = a2 + b2 - 2ab
(a + b)2 + (a - b)2 = 2(a2 + b2)
(a + b)2 - (a - b)2 = 4ab
a2 - b2 = (a + b) (a - b)
(a + b)3 = a3 + b3 + 3ab (a + b)
(a - b)3 = a3 - b3 - 3ab (a - b)
a3 + b3 = (a + b) (a2 - ab + b2)
a3 - b3 = (a - b) (a2 + ab + b2)
logax = y →ay = x
logaxp = p logax
logaxy = loga x + logay
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from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
Series - Special Series In this part we are going to take a concise look at three special series. In fact, special may not be the correct term. All three have been named th
Example: Suppose your football team has 10 returning athletes and 4 new members. How many ways can the coach choose one old player and one new one? Solution: There are 10 wa
nC6:n-3C3=91:4
#in a picnic the ratio of boys to girls is 3:4. when 6 boys joined the group the ratio became even. how many boys were there before? how many children were there before? how many b
Strategy for Series Now that we have got all of our tests out of the way it's time to think regarding to the organizing all of them into a general set of strategy to help us
all properties, formulas of infinite series
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