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The value of the integral overset(1)unde...

The value of the integral `overset(1)underset(0)int e^(x^(2))dx` lies in the integral

A

`lt e`

B

`gt e`

C

`lt 1`

D

None of these.

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The correct Answer is:
A
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MODERN PUBLICATION-UNIT TEST PAPER NO. 5 (CALCULUS)-Select the correct answer
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  2. underset(n to oo)lim""((n!)^(1//n))/(n) equals :

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  3. The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...

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  4. Evaluate the integral: int e^x (sinx+cosx)dx

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  5. The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is

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  6. The domain of the derivative of the function: f(x)={{:(,tan^(-1)x,|x| ...

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  7. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

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  9. Let f(x)={{:(x+2","-1lexlt0),(1","x=0),((x)/(2)","0lt x le1):}. Then...

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  10. int(dx)/(x(x^n+1)) is equal to

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  11. If l^r(x) means logloglog.......x being repeated r times, then int [ (...

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  12. If f(x)=(x+2)/(2x+3), then int sqrt((f(x))/(x^(2)))dx equals : (1)/(...

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  13. If int (sin x)/(sin (x-a))dx =Ax+B log sin (x-alpha)+C, then the valu...

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  14. The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x])).dx equals

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  15. If int(0) ^(x) f (t) dt = x + int (x ) ^(1) t f (t) dt, then the v...

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  18. A cylindrical gas container is closed at the top and open at the ...

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  19. Iff(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,t h e nf(x)i se q u a lto 1/...

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  20. underset(n to oo)lim""underset(k=1)overset(n)sum(k^(1//a){n^(a-(1)/(a)...

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