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.