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 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 Put x quadrant reduction formula region Remember Required Required volume revolving Rule Show sides sinh sinº sinx solid Step surface taking tan x tangent varies vertex x-axis y-axis