16.Area bounded by the curvey. the x-axis and the ordinates:-2 and Xl is-15(B) 4154174(A) 9

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Solution

The given curve is y= x 3 and the ordinates are x=−2 and x=1. The area bounded by the given curve is represented by shaded region.

The required area of the region is,

Required area=| ∫ −2 0 ydx |+| ∫ 0 1 ydx | =| ∫ −2 0 x 3 dx |+| ∫ 0 1 x 3 dx | =| [ x 4 4 ] −2 0 |+| [ x 4 4 ] 0 1 | =| − ( −2 ) 4 4 |+| ( 1 ) 4 4 |

Further solve,

Required area=( 4+ 1 4 ) = 17 4 sq.units

Thus, option (D) is correct.

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