Golden Intergral Calculus

2x dx area bounded asymptote Avadh axis centre Changing circle co-effs constant convergent cos2 cosec cosh cost cotx curve curve is symmetrical cycloid denom Differentiating dx dx dx dy dx Integrating dy dx dz dz ellipse equation Evaluate Example figure Find Find the area finite following integrals Form function given Hence initial line integrand Integrating Kanpur length lies limits of integration log sec log x loop Meerut meets Note numerator and denominator nx dx origin parabola positive Proceeding Prove quadrant reduction formula region Remember Required Required volume revolves Rule Show sides sinh sinº sint sinx solid Step surface taking tan x tangent term varies vertex x-axis y-axis