The discussion revolves around evaluating an integral involving a continuous function f, given that the definite integral from 0 to 2 of f(x) equals 6. The specific integral in question is from 0 to π/2 of f(2sin(b))cos(b)db.
Participants are exploring variable substitution as a method to approach the integral. One participant proposes a specific substitution and calculates a potential result based on that substitution. There is a brief affirmation of this approach, but no further elaboration or consensus on the finality of the answer is reached.
The discussion includes a focus on the implications of not knowing the specific form of f(x) while attempting to evaluate the integral. Participants are navigating the constraints of the problem as posed in a homework context.
dx said:Do you know how to change variables in integrals? In the second integral, change variables to y = 2sinb.