The area of the region bounded by the line y = 3x + 2, the X-axis and the ordinates x = - 1 and x = 1is_________ sq. units.

(a)

\(\frac{13}{3}\)

(b)

13

(c)

\(\frac{26}{3}\)

(d)

\(\frac{3}{13}\)

The value of \(\int _{ -3 }^{ 2 }{ |x+1| } dx\) is______.

(a)

4

(b)

\(\frac{1}{4}\)

(c)

8

(d)

2

The area lying above the X-axis and under the parabola y = 4x - x² is ______ sq. units

(a)

\(\frac{16}{3}\)

(b)

\(\frac{8}{3}\)

(c)

\(\frac{32}{3}\)

(d)

\(\frac{64}{3}\)

The area of the region bounded by the curve y² = 2y - x and the y-axis _____ sq. units

(a)

\(\frac{4}{3}\)

(b)

\(\frac{2}{3}\)

(c)

4

(d)

\(\frac{16}{3}\)

The area bounded by the curve y = 4ax and the lines y² = 2a and Y-axis is _______ sq. units.

(a)

\(\frac{2a}{3}\)

(b)

2a²

(c)

\(\frac{a^2}{3}\)

(d)

\(\frac{2a^2}{3}\)