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we must integrate (4cos⁴ x-4cos² x+1)^1/2 factorise first ((2cos²x-1)²)^1/2this becomes (2cos²x-1)which equals cos 2xthe integral...

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done wit...

The respiration surface in humans is the alveoli. It is adapted to its function as a gas exchange surface because it has a high surface area to volume ratio, this allows maximum surface area for gas excha...

An autobiography is a story about a person's life, written by that person. Both a biography and a portrait are the impetus for autobiographies and autoportraits as without a « bios » there is no « auto »....

Being able to manipulate equations is a very useful skill in Physics. Consider, for example, the relationship between mass, density and volume.
m = ρ x v
In the above equation, the mass, m ...