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  1. C

    Determining a subspace of polynomials with degree 3

    Thanks! That was exactly what I was hoping to get.
  2. C

    Determining a subspace of polynomials with degree 3

    Homework Statement Determine which of the following are subspaces of P3: a) all polynomials a0+a1x+a2x^2+a3x^3 where a0=0 b) all polynomials a0+a1x+a2x^2+a3x^3 where a0+a1+a2+a3=0 c) all polynomials a0+a1x+a2x^2+a3x^3 for which a0, a1, a2, a3 are integers d) all polynomials of the form...
  3. C

    Trig integral from hell

    wow, thanks you guys. this is definitely something that I never would have done. we spent like two seconds on product sum rules and I didn't really understand that they could be used like this. i'll need to write this down and stare at it for a couple minutes but thanks! I sense a passing grade...
  4. C

    Trig integral from hell

    Homework Statement \int \frac{3cosx-10sinx}{10cosx+3sinx} from -pi/3 to pi/3 Homework Equations some sort of identity maybe? The Attempt at a Solution well...I made the mistake of saying the answer was zero since it's an odd function (yes, i know this is ridiculously not right) and...
  5. C

    Integration by parts with trig function insanity

    unfortunately, I have to use this problem to prove that next.
  6. C

    Integration by parts with trig function insanity

    Homework Statement Let In=the integral from 0 to pi/2 of sinnxdx show that (I2n+1)/(I2n)=(2n+1)/(2n+2) Homework Equations integral from 0 to pi/2 of sin2n=(2n-1)pi/4n The Attempt at a Solution I can't write down all that I've done because it's just too ridiculous. I've tried lots...
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