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If I= int0^(pi/2) dx/(sqrt(1+sin^3x) the...

If `I= int_0^(pi/2) dx/(sqrt(1+sin^3x)` then

A

`0ltIlt1`

B

`I gt (pi/(2sqrt2))`

C

`I lt sqrt2 pi`

D

`I gt 2pi`

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The correct Answer is:
B, C
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  2. Let I=int0^(pi/2) (sinx dx)/xthen

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  3. If I= int0^(pi/2) dx/(sqrt(1+sin^3x) then

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  4. int0^pi xf(sinx)dx is equal to

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  5. Let f(x) = { 1-abs(x) , abs(x)le 1 0 , abs(x) gt 1 and g(x) =f(x-1)...

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  6. The values of alpha which satisfy int(pi/2)^alpha sin2alpha (alpha in ...

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  7. Let f(x) = int2^x f(t^2-3t+2) dt then

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  8. Let f(x) be a continous function defined on the closed interval [a,b] ...

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  9. Let f(x) be a continous function defined on the closed interval [a,b] ...

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  10. If f(x) be an increasing function defined on [a,b] then max {f(t) alet...

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  11. If f(x) be an increasing function defined on [a,b] then max {f(t) alet...

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  12. Choose the correct answer: The hybridisation of the carbon atom (under...

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  13. Choose the correct answer: The hybridisation of the carbon atom (under...

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  14. If int0^(pi/2) sintheta log sintheta d theta =log (A/(198e)) then the ...

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  15. If int0^1 dx/((1+x)(2+x)(sqrt(x(1-x)))) = (piA)/(sqrt6(sqrt3+1)) then ...

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  16. If-int0^(2pi) [sinx+cosx]dx =Api and [x] denotes the greatest integer ...

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  17. The value of the integral sqrt2 int0^pi sqrt(1-cos2x) dx is ?

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  18. The value of the integral sqrt2 int0^(pi/2) f(sin2x) sinx dx=A (sqrt2/...

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  19. Evaluate int0^sqrt3 (1/(1+x^2)) sin^(-1)((2x)/(1+x^2)) dx

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  20. Evaluate : int0^(pi//2) cos^3xcdot sinx dx

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