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First, separate the algebraic fraction:(x+7) / ((x-3)(x+1)² = A/(x+3) + B/(x+1) + C/(x+1)² Multiply both sides by (x-3)(x+1)²: (x+7) = A(x+1)²+ B(x+1)(x+3) + C(...

First, the surds need to be simplified. Surds can be simplified by finding the highest square number that is a factor of the number in the square root.√12 = √(4 x 3) = √4 x √3 = 2√3√75 = √(25 x 3) = √25 x...

This is usually a good idea if you have an integral with two functions multiplied together when one of the functions differentiates to a constant (could take more than one differentiation).For example to ...

Where does the circle (x-6)²+(y-7)²=4 intersect with y=x+3We need to sub y=x+3 into the circle equation giving us an equation in just x:(x-6)²+(x-4)²=4Next we e...

5y = 45y = 45/5y = 9