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What is the integral of (cos(x))^2?

cos(2x) = 2cos 2 (x)-1 by the double angle formula. Rearrange to give cos 2 (x) = (cos(2x)+1)/2 Integrating this gives sin(2x)/4 + 1/4x + c
MC
Answered by Max C. • Maths tutor
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How do I write a focused essay on Hamlet?

The task of writing an essay on such well-trodden territory as Shakespeare's Hamlet is certainly a daunting one, and achieving a degree of originality is key to getting top marks. Many students make the mist...
KM
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A car is moving along a straight horizontal road, with a constant acceleration. The car passes point A, with a speed of ums(-1). 10 seconds later, passes point B, with a speed of 45 ms(-1). The distance from A to B is 300m. Find u.

Here, we must consider our UVAST equations of motion, and our variables. U=?ms^(-1), V=45ms^(-1) , A=?ms^(-2), S= 300m, T=10s Our equations of motion are: V = U + AT , S = (1/2)(V+U)T , S = UT + (1/2)AT^2 , ...
AM
Answered by Alice M. • Physics tutor
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How do I write a 25 mark politics essay in the exam?

As 25 markers need to be written in less than half an hour in the exam, getting all of your ideas down quickly is important.Because of this, it is well worth taking 5 minutes to plan your essay. This plan do...
LB
Answered by Lily B. • Politics tutor
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How do you approach feminism and femininity in an essay on Shakespeare’s 'King Lear?' (OCR marking criteria)

Assessment objectives AO1 : ArgumentPoints that you could mention in your essay could include:- A land divided between 2 daughters- The sexist way in which Lear speaks of Goneril- The fragility of Lear’s mas...
HM
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