JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

A polynomial

P

is positive for

x > 0

, and the area of the region bounded by

P(x)

, the

x

-axis, and the vertical lines

x=0

and

x=K

K^2(K+3) / 3

. The polynomial

P(x)

View answer and explanation

Correct option: A

x^2+2 x

Option A (

x^2+2x

) is correct because differentiating the given area function with respect to K yields the polynomial P(K), which simplifies to

x^2+2x

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