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(4-8x)^(-3/2) =Factoring out 4^(-3/2) to make binomial expansion easier(1-2x)^(-3/2) =Using the binomial series expansion in the formula booklet, up to the term in x^3<...
3/2x2 -2/5x5/2 +C
sin(x)2 + cos(x)2 = 1 divide by cos(x)2 tan(x)2 + 1 = sec(x)2 therefore tan(x)2 = sec(x)2 - 1 integral of sec(x)2 - 1 rwt x = tan(x) - x + C therefore the integral of tan(x)2 rwt x = tan(x) - x + C
Lets say the equation to be differentiated takes the following format y = (ax2+bx+c)n, to find dy/dx: (1) Make u equal the contents of the bracket, u=ax2+bx+c. (2) Substit...
Notes: At the minimum point of the curve, the gradient is = 0. You can find the gradient of a curve by taking the derivative of a point in the curve. We also know that when the curve is at a minimum, ...
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