Integration Lecture 3

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

Using integration find the area of region bounded by the triangle whose vertices are ( 1, 0), (1, 3) a n d (3, 2) .

Using integration, find the area of the region bounded by the curves y=x and y=x^(3) .

Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2), (1, 5) and (3, 4).

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

Using integration, find the area bounded by the curves y = |x-1| and y = 3-|x| .

Using integration, find the area of the region bounded by the triangle whose vertices are (2,1), (3, 4) and (5,2).

Using integration, find the area of region bounded by the triangle whose vertices are (–2, 1), (0, 4) and (2, 3) .

Evaluate the following integration int cos^(3)x dx

Evaluate the following integration int sin^(3) x cos^(3) x dx