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Integrate xsin2x

Integrate by parts: integral = [uv] - ∫u'v dx (u'= derivative of u, v'= derivative of v) u= x u'= 1 v' = sin2x v= -0.5cos2x = -0.5xcosx - ∫-0.5cos2x dx = -0.5xcosx + 0.25sin2x + c
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Answered by Julia E. • Maths tutor
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What is the best way to show that I have knowledge?

With regards to the Oxford interview, the tutors want to see your knowledge, of course. More important, however, is your attitude and your ability to think on the spot. They want to accept students who are i...
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What is the area bound by the x-axis, the lines x=1 and x=3 and the curve y=3x^(2)-1/x ? Answer in exact form.

Integrate, y= 3x 2 -1/x 1{ 3 3x 2 - 1/x dx = [x-lnx] 3 1 = (3-ln3)-(1-ln1) = 3-ln3-1+0= 2-ln3
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Answered by Escher L. • Maths tutor
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Please explain the difference between compound and simple interest

First of all, let's start by defining the word 'interest'. Interest in mathematical terms generally means an amount of money that is accumulated over a period of time after an amount of money is invested or ...
HM
Answered by Henry M. • Maths tutor
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Describe the part played by each of the organelles involved in the production and secretion of the enzymes. (10)

The Nucleus contains the DNA code for the amino acid sequence (2) 3. The Nucleolus makes rRNA (4) 5. The Ribosomes translate mRna in protein synthesis 6. The endoplasmic reticulum allows for the transport of...
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Answered by Aoife M. • Biology tutor
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