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- int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...
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- For any real number x, let [x] denote the largest integer less than or...
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- evaluate: int0^(pi/4)2tan^3xdx is
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- If f is continuous function and F(x)=int0^x((2t+3)*intt^2f(u)d u)dt , ...
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- Let f'(x)=(192x^3)/(2+sin^4pix) for all x in R with f(1/2)=0.If mleint...
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- If the value of lim(n rarr oo)(n^(-3/2)) sum(j=1)^(6n) sqrt(j) is equa...
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- If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)
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- If I=int0^((3pi)/4)[(1+x)sinx+(1-x)cosx]dx , then value of (sqrt(2)-1...
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- The value of int1^a[x]f^(prime)(x)dx ,where a >1, and [x] denotes the ...
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- The value of int(0)^(x)[cost]dt, x epsilon[(4n+1)(pi)/2,(4n+3)(pi)/2] ...
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- Let f(x)=min({x},{-x})AA epsilonR, where {.} denotes the fractional pa...
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- int1^4 {x-0.4}dx equals (where {x} is a fractional part of x
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- The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...
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- Ifx=intc^(sint)sin^(-1)z dz ,y=intk^(sqrt(t))(sinz^2)/zdz ,t h e n(dy)...
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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))a n dg(x) be the inverse of f(x) . Th...
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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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