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AAKASH INSTITUTE-INTEGRALS-Objective Type Questions (Only one answer)
- 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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- 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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- 1/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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- The value of int (0)^(2)f(x) d x , where f(x)={(0",where" x = (n)/...
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- Let g(x) be a continuous and differentiable function such that int0^2{...
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- Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...
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- Let f:(0,oo)rarrR and F(x)=int0^x t.f(t)dt.If F(x^2)=x^4+x^5, then sum...
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- int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=
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- The value of int(-10)^(10)[{f(f(x)}xx{f(f((1)/(x))}]dx, where f(x)=(1-...
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- The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...
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- If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...
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