JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

k

for which the area of the figure bounded by the curve

y = 8\;{x^2} - {x^5},

the straight line

x = 1

and

x = k

and the

x

-axis is equal to 16/3

View answer and explanation

Correct option: B

\sqrt[3]{{8 - \sqrt {17} }}

The correct answer is B (

\sqrt[3]{{8 - \sqrt {17} }}

) because it is obtained by solving the definite integral of the given function between the limits and equating it to the given area.

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