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

Let f(x) =`int_(-1)^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 continous in (-1,1)

D

All of the above

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The correct Answer is:
D
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  3. Let f(x) =int(-1)^x abs(x+1) dx then

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  7. The value of int0^(pi/2)log(tanx)dx is

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  8. int(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integ...

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  9. The value of the integral int0^3 dx/((sqrt(x+1) +sqrt(5x+1)) is

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  10. The solution of the equation intsqrt2^x dx/(xsqrt(x^2-1)=pi/12 is give...

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  11. The value of int(1/e^2)^e abs(logx)dx is

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  12. The integral int0^(pi/2) dx/(x+sqrt(a^2-x^2)) equals

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  13. If I=int0^(pi/4)log(1+tanx) dx then I is equal to

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  14. The value of int(in2)^sqrt(in3) (xsinx^2)/(sinx^2+sin(In6-x^2)dx is

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  15. The value of int0^1 (8log(1+x))/(1+x^2) dx is

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  16. Th value of int(-2)^(2) (xcosx+sinx+1) dx is

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  17. intpi^(16pi) abs(sinx) dx=

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  18. The value of underset(nrarrinfty)lim oversetn underset(r=1) sum (r^3)/...

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  19. The value of int0^pi sin^(50)x cos^(49)x dx is

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  20. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

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