Search over 10,000 free study notes

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)....