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Firstly, ensure both numerator and denominator are factorised fully so that any possible cancellations can happen - making it easy for yourself is always a good idea. Now, turn it into partial fractions. ...

Firstly we notice that the numerator is the derivative of the denominator so we can use integration by subsitution method. Setting u=x^(2)+1. We can differentiate this to get du/dx=2x Subbing in dx=du/2x ...

Mathematical induction is a method of proving if a mathematical statement is true for all natural numbers. To start with, I am going to give an analogical example in order to have a better understanding. ...

1.) draw what is happening: 2.)Notice key points of questions: Plank is in equilibrium. This means that all forces=0 and all moment=03.) Apply force equilibrium: 4.) Apply moment equilibrium5.) fin...

The function in terms of x should be broken down into two easier to integrate functions, like so f(x) = g(h(x)). if we say that u=h(x) is our substitution then we can integrate in terms of u now, however ...