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- ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+...
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- Evaluate the definite integrals as limit of sums int1^2x^2dx
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- Evaluate: inta^bsinx dx using limit of sum
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- int(-3)^3 x^8{x^11}dx
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- Evaluate: inta^b e^x dx using limit of sum
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- The value of int(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes the...
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- Evaluate: lim(n->oo)(((n+1)(n+2)...(n+n))^(1/n))/n
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- If g(x)=int0^x(|sint|+|cost|)dt ,then g(x+(pin)/2) is equal to, where...
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- Evaluate: lim(n->oo)[1/(n a)+1/(n a+1)+1/(n a+2)++1/(n b)]
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- int0^x|sint|dt, where x in (2npi,(2n+1)pi),ninN,is equal to (A) 4n...
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- Evaluate lim(n->oo)n[1/((n+1)(n+2))+1/((n+2)(n+4))+....+1/(6n^2)]
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- Let f be an odd continous function which is periodic with priod 2 if g...
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- Evaluate inta^b(dx)/(sqrt(x)),w h e r ea , b > 0.
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- Let f: R to R and g: R to R be continuous function. Then the value of ...
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- Evaluate: int(-(3pi)/2)^(-pi/2)[(x+pi)^3+cos^2(x+3pi)]dx
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- Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx
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- Evaluate: int0^(100)x-[x]dx where [dot] represents the greatest in...
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- If Sn=[1/(1+sqrt(n))+1/(2+sqrt(2n))+....+1/(n+sqrt(n^2))] then (lim)(n...
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- The value of ("lim")(nvecoo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+s...
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- The value of (int0^n[x]dx)/(int0^n{x}dx is (where [x] and {x} denotes ...
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