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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- lim(n rarr oo) { n/(n^(2)+1^(2)) + n/(n^(2)+2^(2))+......+ n/(n^(2)+n^...
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- The value of the integral int0^(pi/4) (sin theta + cos theta)/(9+16 si...
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- int(0)^(1//2) |sin pi x| dx is equal to :
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- The value of int(-pi/2)^(pi/2) |x cos ((pix)/2)| dx is
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- For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...
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- If g(x) = int0^x cos^4 t dt, then g(x + pi) equals:
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- If I(n) = int0^(pi/4) tan^(n) theta d theta, then I(8)+I(6) equals
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- The value of int0^(pi/2) (1)/(1+tan^(3)x) dx is
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- Let f : R to R and g : R to R be continuous functions. Then the value ...
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- If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :
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- int0^(pi/2) (dx)/(1+cotx) =
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- If f and g are continuous [0,a) satisfying f(x) = f(a-x) and g(x)+ g(a...
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- int0^(3) |x^(3)+x^(2)+3x| dx is equal to
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- int0^(10) |x(x-1)(x-2)| dx is equal to
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- If I = int0^(pi/4) log (1+ tan x) dx, then I =
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- lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =
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- If I = int(-pi)^(pi) (e^(sinx))/(e^(sinx)-e^(-sinx)) dx then I =
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- lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :
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- The value of int(-2)^(2) { p log ((1+x)/(1-x))+ q log ((1-x)/(1+x))^(...
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- inta^(b) |x|/x dx, (Where 0 lt a lt b) =
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