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Using the result: ∫(2xsin(x)cos(x))dx = -1⁄2[xcos(2x)-1⁄2sin(2x)] calculate ∫sin²(x) dx using integration by parts

Recall that ∫uv'=uv- ∫u'v Set u=sin²(x), v'=1 Therefore u'=2sin(x)cos(x) and v=x which gives us the following:

∫sin²(x)dx = xsin²(x) - ∫2xsin(x)cos(x)dx

The second integral in the above expr...

NM
Answered by Nick M. Maths tutor
5669 Views

Explain the different types of receptors involved in regulating breathing rate

Chemoreceptors - detect changes in co2 levels

barocreptors- detect changes in blood pressure 

mechanoreceptors - detect changes in movement

MS
2838 Views

How should I answer a 10 Mark history essay question during an exam?

From my experience, when answering a ten mark question, especially during the exam, a key factor is do not overwrite, but put emphasis on quality over quantity during your answer. Most importantly stick t...

PF
Answered by Peter F. History tutor
47194 Views

Write the number 0.000000001 in standard form.

1 x 10^-9

AH
Answered by Abigail H. Maths tutor
17512 Views

How are plant and animal cells different?

It's easy think about how they are different if you think about their different functions and environments.

Let's think about the difference between the walls. Animal cells have a thin cell membran...

AH
Answered by Anna H. Biology tutor
3651 Views

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