Re: MX2 2015 Integration Marathon
![cd26243eac.png](/data/attachments/24/24967-80db012518119015ece7c1201be44565.jpg)
Did this by dividing through b^4 tan^4x and then splitting the numerator into two fractions. Then substituting u^(1/3) = (a/b)tanx and w=(a/b)tanx. Then it simplifies into algebraic integrals like 1/(w^4+1) which can be evaluated using partial fractions. Although I think I probably did some unnecessary steps (as per usual) since half my answer cancelled out at the final step.
Should look like this:
are real non-zero constants
![cd26243eac.png](/data/attachments/24/24967-80db012518119015ece7c1201be44565.jpg)
Did this by dividing through b^4 tan^4x and then splitting the numerator into two fractions. Then substituting u^(1/3) = (a/b)tanx and w=(a/b)tanx. Then it simplifies into algebraic integrals like 1/(w^4+1) which can be evaluated using partial fractions. Although I think I probably did some unnecessary steps (as per usual) since half my answer cancelled out at the final step.