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The function L(x)=int(1)^(x)(dt)/t satis...

The function `L(x)=int_(1)^(x)(dt)/t` satisfies the equation

A

`L(x+y)=L(x)+L(y)`

B

`L(x/y)=L(x)+L(y)`

C

`L(xy)=L(x)+L(y)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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  10. The value of the integral int(0)^((pi)/4)(sqrt(tanx))/(sinx cos x) dx ...

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  11. If I(n) = int (0)^(pi//4) tan^(n) theta " " d theta, "then "I(8)+I(6)=

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  12. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

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  16. The value of int0^1 (x^4+1)/(x^2+1)dx is

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  17. int (0)^(3) (3x+1)/(x^(2)+9) dx =

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  18. The value of int0^1(x^4(1-x)^4)/(1+x^2)\ dx is

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  19. int0^1sqrt((1-x)/(1+x))dx

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  20. int(-1)^(1)sqrt((1-x)/(1+x))dx=

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