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Choose the correct answer int(0)^(2/3)...

Choose the correct answer
`int_(0)^(2/3)(dx)/(4+9x^(2))` equals

A

`pi/6`

B

`pi/12`

C

`pi/24`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  2. Choose the correct answer int(1)^(sqrt3)(dx)/(1+x^(2)) equals

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  3. Choose the correct answer int(0)^(2/3)(dx)/(4+9x^(2)) equals

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  4. If f(x) = int(0)^(x) t sin t dt, then f'(x) is

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  5. Choose the correct answer The value of the integral int(1/3)^(1)((x-...

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  6. Choose the correct answer The value of int((-pi)/2)^(pi/2)(x^(3)+xco...

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  7. The value of int0^(pi/2) log ((4+3sinx)/(4+3cosx)) dx is

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

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  9. The value of int0^(1) tan^(-1) ((2x-1)/(1+x-x^(2))) dx is

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  10. lim(n rarr oo) sum(r=1)^(n) r/n^(2) sec^(2) (r^(2)/n^(2)) =

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  11. lim(n rarr oo) 1/2 [(n+1)(n+2)…….2n]^(1/n) =

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  12. lim(n rarr oo)[(1+1/n)(1+2/n)…..2]^(1/n) =

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  13. lim(n rarr oo) 1/n^(100) (1^(99)+2^(99)+3^(99)+………+n^(99)) =

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  14. lim(n to oo) sum(r = 1)^(n) 1/n e^(r/n) is :

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  15. lim(n rarr oo) sum(r=1)^(n) 1/n sec^(2) ((rpi)/(4n)) =

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  16. lim(n rarr oo)1/nsum(r=1)^(n) sqrt(r/n) =

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  17. lim(n rarr oo) 1/n[sin(pi/(2n))+sin(pi/n)+sin((3pi)/2n)+........+sin(p...

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  18. The area between the curves y=2x-x^(2) and the x-axis is

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  19. The area bounded by the curve y = x^2 - 7x + 10 and the x - axis is

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  20. The area bounded byy^(2) =x^(3), the y-axis and the lines y=1 and y=2 ...

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