Let f(x)=ax^3+bx^2+cx have relative extrema x=1 and at x=5. If _ -1 ^ 1 f(x) ,dx=6 then

JEE Advanced Mathematics question

Let have relative extrema and at . If then

Answer: (A),(B)

. Extrema at :

3a+2b+c=0, 75a+10b+c=0 .

In the odd terms and integrate to , so .

Then and $7

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Question ID VK-109578