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If `g(x)` is the inverse of `f(x) and f(x)` has domain `x in [1,5]`, where `f(1)=2 and f(5) = 10` then the values of `int_1^5 f(x)dx+int_2^10 g(y) dy` equals

A

48

B

64

C

71

D

52

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Single Option Correct Type Questions)
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  11. int(0)^(infty)f(x+(1)/(x)). (In x )/(x)dx is equal to

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  12. lim(lamda to 0)(int(0)^(1) (1+x)^(lambda ) dx)^(1//lambda) Is equal t...

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  13. If g(x) is the inverse of f(x) and f(x) has domain x in [1,5], where...

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  14. The value of the definite integral int(0)^(pi//2)sin x sin 2x sin 3x d...

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  15. If f(x)= int(0)^(x)(f(t))^(2) dt, f:R rarr R be differentiable functi...

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  16. The number of integral solutions of the equation 4int (0)^( infty)(In"...

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  17. int(0)^(16n^(2)//pi) "cos" (pi)/(2)[(xpi)/(n)] dx is equal to

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  18. If int-2^-1 (ax^2-5)dx=0 and 5 + int1^2 (bx + c) dx = 0, then

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  19. The value of int(3)^(6)(sqrt(x+sqrt(12x-36))+sqrt(x-sqrt(12x- 36)))dx...

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