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Integrating this expression is a simple trick. We use integration by parts. For this we need a function we can integrate and a function we can differentiate. We know how to differentiate ln(x) which is 1/x. ...

Entropy is the level of disorder in the universe. The more disordered something is, the higher its entropy. Molecules in solids ae specifically arranged and vibrating, hence the level of disorder is low, mea...

6x^2 + 7x + 2 can be written in the form ax^2 + bx + c. In order to factorise this I use the following method which can be used to factorise similar equations. Multiply 'a' and 'c' to get ac (here this is 6 ...

We can start with the identity sin 2 (x)+cos 2 (x)=1 If we divide through the equation by cos 2 (x), we get: sin 2 (x)/cos 2 (x) + cos 2 (x)/cos 2 (x) = 1/cos 2 (x) If we look at the left hand side of the eq...

To get the required tangent equation we need its gradient and the coordinates of a point it passes through. We can then substitute it into the formula y - y 1 = m(x - x 1 ). 1. Finding the gradient: To find ...