Solutions Of Bs Grewal Higher Engineering Mathematics Pdf Full Repack Work -

The gradient of f is given by:

Solution:

2.1 Evaluate the integral:

∫[C] (x^2 + y^2) ds

dy/dx = 2x

∫(2x^2 + 3x - 1) dx

x = t, y = t^2, z = 0

A = ∫[0,2] (x^2 + 2x - 3) dx = [(1/3)x^3 + x^2 - 3x] from 0 to 2 = (1/3)(2)^3 + (2)^2 - 3(2) - 0 = 8/3 + 4 - 6 = 2/3