Finding function of a derivative of trig function

[Tom2013]

How do I find the the function of the given derivative whose graph passes through the point (pi/4,2)
r'(beta)=12+sec^2beta.

 

[HallsofIvy]

How do I find the the function of the given derivative whose graph passes through the point (pi/4,2)
r'(beta)=12+sec^2beta.

That's pretty basic. The anti-derivative of "12" (with respect to beta) is 12beta and the anti-derivative of sec^2(beta) is tan(beta). Add the constant of integration and set beta= pi/4 and r= 2 to determine what that constant is.