1answer will be option A.
CONSIDER ANY CURVE AND ADD TWO AREAS ONE WITH X- AXIS AS BASE AND ANOTHER WITH Y-AXIS.
WILL POST THE FIG . IF I WILL GET TIME
7. If f(x) is a monotonic differentiable function on [α, β] then αβ∫f(x)dx + f(α)f(β)∫f-1xdx equals to
(A) β f (β) – α f (α) (B) β f (α) – α f (β)
(C) α f (α) + β f (β) (D) none of these
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3 Answers
1
1in second integral put x = f(t) then apply integration by parts , then put t=x
answer will be option A
62read this thread carefully..
it is very interesting and poses a lot of questions while answering this doubt as well
http://targetiit.com/iit_jee_forum/posts/e_x_2_1849.html
