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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- If int0^(a) f(2a-x) dx = mu and int0^(a) f(x) dx = lambda, then int0^(...
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- If U(n) = int0^(pi/4) tan^(n) x dx then u(n)+u(n-2) =
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- The value of I = int0^(1) x|x-1/2|dx is
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- The value of int2^(8) |x-5| dx is
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- int0^(pi/8) cos^(3) 4 theta d theta =
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- int0^(pi) (xdx)/(1+sinx) =
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- int(-pi/3)^(pi/3) (x sinx)/(cos^(2)x) dx=
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- int0^(pi/2) x sin^(2) x. cos^(2) x dx =
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- If (1 sin t)/(1 + t) dt = alpha, then that value of the integral : i...
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- lim(n rarr oo) sum(r=0)^(n-1) 1/(sqrt(n^(2)-r^(2))) =
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- lim(n rarr oo) sum(r=0)^(n-1) 1/(n+r) =
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- lim(n rarr oo) n.sum(r=0)^(n-1) 1/(n^(2)+r^(2)) =
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- lim(n to oo) [1/(n^2) "sec"^2 1/(n^2) + 2/(n^2) "sec"^(2) 4/(n^2) + ……...
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- lim(n to oo) sum(r = 1)^(n) 1/n e^(r/n) is :
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- lim(n rarr oo) [1/(2n+1)+1/(2n+2)+…….+1/(2n+n)]=
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- lim(n rarr oo) [1/(n+1)+1/(n+2)+…….+1/(2n)]=
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- lim(n rarr oo) [(n+1)/(n^(2)+1^(2) )+(n+2)/(n^(2)+2^(2))+(n^+3)/(n^(2)...
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- The value of int(-2)^(2)(ax^(3)+bx+c) dx depends on the
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- If f(x)=int(-1)^(x)|t|dt, then for any x ge 0 , f (x)=
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- int(1)^(3)(sqrt(4-x))/(sqrt(x)+sqrt(4-x))dx=
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