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integrate (4cos^4 x -4cos^2x+1)^1/2

we must integrate (4cos 4 x-4cos 2 x+1) 1/2 factorise first ((2cos 2 x-1) 2 ) 1/2 this becomes (2cos 2 x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C
DW
Answered by Dominic W. • Maths tutor
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What is the lowest common multiple and the highest common factor of 120 and 150?

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 with a...
DW
Answered by Dominic W. • Maths tutor
7288 Views

Name the respiration surface in humans, and describe how it is adapted to its function

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 exchange...
OG
Answered by Olivia G. • Biology tutor
9144 Views

Text A: Charles Dickens , David Copperfield 1850, Text B: Twain, introduction of Chapters from my autobiography,1906. Document C: Magritte, Décalcomania 1966- How do writers/artists use their chosen medium to reveal their inner self?

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 ». Di...
EJ
4187 Views

Help! How do I rearrange equations?

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 is the subject bec...
IP
Answered by Ijeoma P. • Physics tutor
2698 Views