Evaluate: inta^b e^x dx using limit of s...

Evaluate: `int_a^b e^x dx` using limit of sum

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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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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(x) be an odd continous function which is periodic with period 2....
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Evaluate inta^b(dx)/(sqrt(x)),w h e r ea , b > 0.
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Let f: Rveca n dg: RvecR be continuous function. Then the value of the...
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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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Evaluate: (int0n[x]dx)/(int0n{x}dx)(w h e r e[x]a n d{x} are integral...
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The value of int0^(pi/2) (dx)/(1+tan^3 x) is (a) 0 (b) 1 (c) pi/2 (d) ...
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