The area bounded by the parabola y2 = 8x, the x-axis and the latusrectum is

Latus rectum of parabola y2 = 4ax is x = aSo, latus rectum of parabola y2 = 8x is x = 2Therefore, area A enclosed is –A = = = = 16/3 (Ans)

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The area bounded by the parabola y² = 8x, the x-axis and the latusrectum is

Latus rectum of parabola y² = 4ax is x = a

So, latus rectum of parabola y² = 8x is x = 2

Therefore, area A enclosed is –

A =

= 16/3 (Ans)

The area bounded by the curve y = f(x), x-axis, and the ordinates x = 1 and x = b is (b – 1) sin (3b + 4). Then, f (x) is

The area bounded by the curve y² = 8x and x² = 8y is

Area bounded by the curve y = x³, the x-axis and the ordinates x = –2 and x = 1 is

The area bounded by the curve y = x |x| and the ordinates x = –1 and x = 1 is given by