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a) First deduce that problem can be solved by inspection. Then use the fact that the derivative of tan3x equals 3sec^2(3x) and adjust for the constant. (Note this fact should be given in a formula booklet...
We already know that the derivative of ln(x) is 1/x, so how can this be used for integration?Recall integration by parts uses knowledge of the derivative of one of the parts in the formula.int(u v' dx) = ...
factorise x3+2x2+x=0 => x(x2+2x+1)=0 => x(x+1)(x+1)=0 => x(x+1)2=0 => This leads to x=0 and (x+1)2=0 so x=0 and x+1=0 => Giving us the...
The following function consists of the sum of two variables x^n and x^3 * sin(1/[3x]). Let's break the differentiation down term by term and differentiate xn first since it's the easier term. R...
This would be calculated using the integration by parts method: NOTE: You can consider the function ln(x) to be a constant of value 1 multiplied by ln(x)....
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