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Topic: Miscellaneous
Number of pages / Number of words: 3 / 600
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When we have an equation like

f(x + 7) and we're asked to find the integral, x is really x^1 and its integral is

then x^(1+1) or x^2 ; 7 is really 7x^0 and so the integral is 7x^(0+1) or 7x. The final

(1+1) 2 1

answer being S(x) = x^2 +7x.

2

Integrals (the opposite of derivatives) also raise another question...


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How do we know that

there isn't a constant alone in the integral? The answer is simple. We don't. And so to

account for this, whenever we're solving indefinite integrals, we always end the equation

with "?. + C". So, if we took the indefinite integral of the equation in the previous

paragraph, the actual answer is S(x) = x^2 + 7x +C...


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