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Let f(x) = int(-2)^x abs(x+1) dx then...

Let f(x) = `int_(-2)^x abs(x+1) dx` then

A

f(x) is continous in (-1,1)

B

f(x) is differentiable in (-1,1)

C

f'(x) is differentiable in (-1.1)

D

none of these

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A, B, C
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  5. If I= int0^(pi/2) dx/(sqrt(1+sin^3x) then

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

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

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

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

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

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

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

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

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

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

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