Search over 10,000 free study notes

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...

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 ar...

Integrate, y= 3x² -1/x

 1{³ 3x² - 1/x dx = [x-lnx]³₁= (3-ln3)-(1-ln1) = 3-ln3-1+0= 2-ln3

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 ...

1. 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 tra...