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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-EXERCISE (LEVEL 1) Single Correct Answer Type Questions
- Let f(x) = {x}, the fractional part of x then int(-1)^(1) f(x) dx is e...
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- The value of int(-pi//2)^(pi//2) cos t sin (2t- pi//4) dt is
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- int(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=
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- overset(1)underset(0)int |sin 2pi x|dx id equal to
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- The value of lim(x->oo)(int0^x(tan^(-1)x)^2)/(sqrt(x^2+1))dx
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- If A (t) = int(-1)^(t) e^(-|x|) dx, then lim( t to oo) A (t) is equal ...
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- If the value of int(-2)^(2) | x cos pi x| dx = k//pi then the value of...
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- The value of the integral underset(0)overset(pi)int (xdx)/(1+cos alpha...
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- The value of lim( n to oo) ((1)/(n) + (n)/((n+1)^2) + (n)/( (n+2)^2) +...
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- The value of lim(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+.......
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- For any n in N, the value of the intergral underset(0)overset(pi)int (...
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- If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then ...
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- If (d)/(dx)f(x)=g(x) for a le x le b then, overset(b)underset(a)int f...
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- Let I(1) = int(a)^(b) (int(a)^(x) f(t) dt) dx and I(2) =int(a)^(b) (b-...
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- The least value of the function F(x) = int(x)^(2) log(1//3) t dt, x in...
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- The greatest value of the function F(x)= int(4)^(x) (t^(2) -8t+16) dt ...
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- If for a continuous function f, int(-a)^(a) f(x)dx = K int(0)^(a) (f(x...
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- If I(n)=int(1)^(e)(log x)^(n)dx then I(8)+8I(7)=
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- Let f(1) (x)= int(0)^(x) f(t) dt, f(2) (x) = int(0)^(x) f(1) (t) dt an...
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- If variables x and y are related by the equation x=underset(0)overse...
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