Curvature-radius of curvature in Cartesian and polar forms-evolutes and envelopes pedal equations.
Integration of(f^/ (x))/(f(x)) , (f^/ (x))/√(f(x)), (px+q)/√(ax^2+bx+c),,√(((x-a))/(b-x)) , √((x-a)(b-x)), 1/√((x-a)(b-x)), 1/(acosx+bsinx+c), 1/(acos^(2 ) x+bsin^(2 ) x+c)and Integration by parts.
Reduction formulae-problems-evaluation of double and triple integrals-applications to calculations of areas and volumes-areas in polar coordinates.
Change of order of integration in double integral-Jacobions- change of variables in double and triple integrals.
Beta and Gamma Integrals-their properties, relation between them-evaluation of multiple integrals using Beta and Gamma functions.
Reference Book:
Mathematics for B.Sc., by Vol I and, II-P. Kandasamy& K. Thilagavathy, S. Chand and Co- 2004.
Text Book:
Calculus vol I and II byS. Narayanan and T.K.M.Pillai. Viswanathan Publishers.