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got a query on which substitution to use and how to do it in this question 2 ∫ dx/(x-1)(x^2-2)^0.5 1.5 btw the part with the x's is all the denominator. the only part in the numerator is the dx.

got some homework that i have no idea with. evaluate the following expressions lying between 0 and pi/2 simplify inverse tan x + inverse tan y and inverse tan x - inverse tan y

just started integration... prove that 2 ∫ √(x(4-x)) dx = pi 0

got a question, never seen it b4. P and Q are the end points of a focal chord of the ellipse x^2/a^2 + y^2/b^2 = 1. if P and Q have parameters alpha and beta, show that e^-1 = (sin alpha - sin beta)/sin (alpha - beta).???? help pls.....

got a Q let the lengths of the perpendiculars from the foci of an ellipse 4x^2 + 9y^2 = 36 be P1 and P2. prove that P1xP2 = 4. Also prove that the points of contacts lie on the auxilary circle x^2 + y^2 = 9

hey how do u find the equations of the tangents to an ellipse from an external point?