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MODERN PUBLICATION-UNIT TEST PAPER NO. 5 (CALCULUS)-Select the correct answer
- The value of int (cos^3x+cos^5)/(sin^2x+sin^5x)dx
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- underset(n to oo)lim""((n!)^(1//n))/(n) equals :
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- The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in...
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- Evaluate the integral: int e^x (sinx+cosx)dx
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- The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is
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- The domain of the derivative of the function: f(x)={{:(,tan^(-1)x,|x| ...
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- If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...
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- Find which function does not obey Mean Value Theorem in [0,1] :
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- Let f(x)={{:(x+2","-1lexlt0),(1","x=0),((x)/(2)","0lt x le1):}. Then...
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- int(dx)/(x(x^n+1)) is equal to
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- If l^r(x) means logloglog.......x being repeated r times, then int [ (...
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- If f(x)=(x+2)/(2x+3), then int sqrt((f(x))/(x^(2)))dx equals : (1)/(...
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- If int (sin x)/(sin (x-a))dx =Ax+B log sin (x-alpha)+C, then the valu...
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- The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x])).dx equals
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- If int(0) ^(x) f (t) dt = x + int (x ) ^(1) t f (t) dt, then the v...
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- underset(n to 0)lim""(1)/(n)(underset(y)overset( c )int e^(sin^(2)t)dt...
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- The function |x^2 - 3x+2| + cos |x| is not differentiableat x=
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- A cylindrical gas container is closed at the top and open at the ...
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- 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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- underset(n to oo)lim""underset(k=1)overset(n)sum(k^(1//a){n^(a-(1)/(a)...
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