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- If f(x)=int0^1(dt)/(1+|x-t|) ,then f^(prime)(1/2) is equal to (a)0 ...
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- Let f(x)=int2^x (dt)/sqrt(1+t^4) and g be the inverse of f. Then, the...
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- STATEMENT 1: int0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT ...
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- STATEMENT 1:f(x) is symmetrical about x=2 . Then int(2-a)^(2+a)f(x)dx ...
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- If f(x)=cosx-int0^x(x-t)f(t)dt ,t h e nf^(primeprime)(x)+f(x) is equa...
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- If f^(prime)(x)=f(x)+int0^1f(x)dx ,gi v e nf(0)=1, then the value of ...
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- STATEMENT 1: int0^pisqrt(1-sin^2x) dx=0 , STATEMENT 2: int0^picosx dx...
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- STATEMENT 1: Let m be any integer. Then the value of Im=int0^pi(sin2m ...
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- STATEMENT 1: The value of int0^(2pi)cos^(99)x dx is 0 STATEMENT 2: in...
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- For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...
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- Let S be the area of the region enclosed by y-e^(-x^(2)),y=0, x=0 and ...
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- Let f:(0,oo)vecR be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , then ...
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- Show that int0^pixf(sinx)dx=pi/2int0^pif(sinx)dxdot
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- Let f(x) be a non-constant twice differentiable function defined on (-...
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- Let f(x)=int2^x(dt)/(sqrt(1+t^4))a n dg(x) be the inverse of f(x) . Th...
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- Let f be a real-valued function defined on interval (0,oo),by f(x)=lnx...
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- Let f: R rarr R be a continuous odd function, which vanishes exactly a...
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- If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...
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- Let f(x)=7tan^8x+7tan^6x-3tan^4x-3tan^2x for all x in (-pi/2,pi/2) ...
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- The option(s) with the values of a and L that satisfy the following eq...
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