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Question: If <img src="https://cdn.pureessence.tech/canvas_25.png?top_left_x=280&top_left_y=0&width=300&height...

If = 1, = a and 01x2f(x)dx\int _ { 0 } ^ { 1 } x ^ { 2 } f ( x ) d x = a2 then 01(ax)2f(x)dx\int _ { 0 } ^ { 1 } ( a - x ) ^ { 2 } f ( x ) d x is equal to –

A

4a2

B

2a2

C

a2

D

0

Answer

0

Explanation

Solution

2a01x.f(x)2 \mathrm { a } \int _ { 0 } ^ { 1 } \mathrm { x } . f ( \mathrm { x } ) +

= a2 .1 – 2a. a + a2 = 0