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    Integrand Using Series: e^(4t) / (e^(2t) + 3*e^(t) + 2)

    The problem is the Integrand of e^(4t)/(e^(2t)+3*e^(t)+2) Any ideas on how to begin would be greatly appreciated.
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    Integration Problem: find the Integral of Sqrt(x^2+2x)dx

    I need to find the Integral of Sqrt(x^2+2x)dx. It is a Integration by Partial Fractions exercise. I don't even know where to start. Any help on where to start would be greatly appreciated. If this helps, the solution given by the book is: (1/2)[(x+1)Sqrt(x^2+2x)-ln|x+1+Sqrt(x^2+2x)|]+c
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    Newton's Method to find 100^(1/100) correct to 8 dec. places

    I need help on a Newton's Method problem. I have to "Use Newton's method to approximate the given number correct to eight decimal places". The number is the hundredth root of 100 (100^(1/100)). When done on calculator, the result is 1.04712855. I've tried the approximation but am not able to...
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    Calculus Limit: limit, x-->a, of [cos(x) - cos(a)] / (x - a)

    I have a Calculus project. I have to find the following limit without using L'Hospital: Limit as x approaches a (x->a) of (cos(x)-cos(a))/(x-a) The result is -sin(a) Thanks in advance.
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