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If 2f(x)- 3f(1/x) = x then int1^(e) f(x...

If 2f(x)- 3f(1/x) = x then ` int_1^(e) f(x) dx =`

A

`-((2+e^(2))/5)`

B

(2+e)/5

C

`(2+e^(2))/5`

D

none of these

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  8. If In = int0^(pi//4) tan^n x dx, then lim(n to oo) n [In + I(n -2)] eq...

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  9. If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :

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  12. If f(y) = e^(y), g(y) = y , y > 0 and F(t) = int0^t f(t - y) g(y) dy...

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  14. If f(x) = (e^x)/(1 + e^x) , I1 = int(f(-a))^(f(a)) x g {x(1 - x)} dx a...

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  15. The value of I = int0^(pi//2) ((sin x + cos x)^2)/(sqrt(1 + sin 2x)) d...

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