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Choose the correct answer
The value of the integral `int_(1/3)^(1)((x-x^(3))^(1/3))/(x^(4))dx` is

A

6

B

0

C

3

D

4

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The area bounded by y=sin x and x-axis from x=0 to x=pi is

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  20. The area bounded by y=sin x and x-axis from x=0 to x=pi is

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