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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
- int(-2)^0{(x+1)^3+2+(x+1)cos(x+1)dx is equal to (A) -4 (B) 0 (C) 4 ...
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- Let f(x)=(e^(x)+1)/(e^(x)-1) and int(0)^(1) x^(3) .(e^(x)+1)/(e^(x)-1)...
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- Value of the definite integral int(-1/2)^(1/2)(sin^(- 1)(3x-4x^3)-cos^...
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- Let f(x)=int(0)^(x)(sin^(100)t)/(sin^(100)t+cos^(100)t)dt, then f(2pi)...
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- int(0)^(pi)(x.sin^(2)x.cosx)dx is equal to
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- int0^1000 e^(x-[x])dx
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- The value of the definite integral int(19)^37((x)^2+3(sin2pix))dx wher...
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- If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...
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- The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...
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- underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx
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- Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...
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- Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...
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- If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...
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- If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...
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- The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...
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- Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...
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- Let g(x) be a continous and differentiable function such that int(0...
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- Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...
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- f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...
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- int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=
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