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Question

Mathematics Question on applications of integrals

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

A

-9

B

154-\frac{15}{4}

C

154\frac{15}{4}

D

174\frac{17}{4}

Answer

174\frac{17}{4}

Explanation

Solution

The correct option is(D): 174\frac{17}{4}.

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

Required area= 21ydx∫_{-2}^1 ydx