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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- 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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- The area bounded by the curve y = {(x^(2) x l...
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- int0^(1) x(1-x)^93/2) dx =
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- int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=
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- The value of int0^(4) |x-1|dx is
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- If I(n)underset(0)overset(pi//4)inttan^(n) x dx, where n is a positive...
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- The interval I such that int0^1 (dx)/(sqrt(1 + x^4)) in I is given by ...
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- int0^(pi//2) log(tan x)dx =
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- int0^1 (x^4 + 2x^2 + 1)d(x^2 + 1) =
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- int1^(e^(17//2)) (cos(pi log x))/(x) dx =
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- int0^(2a) (f(x))/(f(x)+f(2a-x)) dx =
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- The value of int(-1/2)^(1/2) (cosx). log ((1-x)/(1+x)) dx is
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- int0^(pi/8) tan^(2) (2x) dx =
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- If int0^x f(t) dt = x + intx^l tf (t) dt, then the value of f(1) is :
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- Let f : (0, oo ) to R and F(x) = int0^x f(t) dt. If F(x^2) = x^2(1 +...
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- lim(n rarr oo) 1/n sum(r=1)^(2n) r/squeroot(n^(2)+r^(2)) equals
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- The value of the integral int0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n...
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