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If f(a + b - x) = fx, then inta^b x f(x)...

If `f(a + b - x) = fx`, then `int_a^b x f(x) dx` is equal to :

A

`(a+b)/2 int_a^(b) f(b-x) dx`

B

`(a+b)/2 int_a^(b) f(x) dx`

C

`(b-a)/2 int_a^(b) f(x) dx`

D

`(a+b)/2 int_a^(b) f(a-x) dx`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  12. If int0^(k) (cos x)/(1+sin^(2)x) dx= pi/4 then k=

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  18. Let A = int0^(1) e^(t)/(t+1) dt, then int0^(1) (t.e^(t^(2)))/(t^(2)+1)...

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  19. If int0^(pi/2) (d theta)/(9 sin^(2) theta + 4 cos^(2) theta) = k pi, t...

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