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

cos(2x) = 2cos2(x)-1 by the double angle formula.

Rearrange to give cos2(x) = (cos(2x)+1)/2

Integrating this gives sin(2x)/4 + 1/4x + c 

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MC
Answered by Max C. Maths tutor
5650 Views

Prove that i^i is real.

Here we are examining the imaginary number ‘i’, defined as the square root (sqrt) of ‘-1’.We begin by using Euler’s identity:e^(iπ)+1=0e^(iπ)=-1Since sqrt(x) is the same as x^(1/2):(e^(iπ))^(...

LC
7238 Views

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.

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KM
8732 Views

What are the most irregular past participles?

Lots of verbs which are irregular when in the past participle can still be grouped together to make them easier to learn! 

Here are a few of the most common irregular pas...

LV
Answered by Laura V. French tutor
3951 Views

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.

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