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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- If int0^x f(t) dt = x + intx^l tf (t) dt, then the value of f(1) is :
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- If f(x) is differentiable and int0^(t^2) x f(x) dx = 2/5 t^5, then f (...
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- Equation of the tangent to y= int(x^(2))^(x^(3)) (dt)/(sqrt(1+t^(2)))...
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- If inta^(x) f(t) dt - int0^(y) g(t) dt = b then dy/dx at (x(0),y(0)) i...
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- If f(x) = 1/x^(2) int2^(x)[t^(2)+f^(')(t)]dt, then f^(')(2) =
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- If inta^(x) [f(t) - 3t] dt = a^(2)-x^(2) then f(pi/6) =
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- Let f(x) = int2^(x) (dt)/(sqrt(1+t^(4)))and g be the inverse of f. The...
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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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- Let f : [1, oo) rarr [2, oo) be a differentiable function such that f(...
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- The critical point of : f(x) = 1 + x + int1^x [(log t)^2 + 2 log t] ...
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- If f(pi) = 2 and int0^(pi) [f(x)+f^('')(x)] sin x dx = 5 then f(0)
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- int(-1)^(1) d/(dx) (1/(1+e^(1/x))) dx =
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- inta^(b) f(x) dx is equal to
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- If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x...
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- If x=int0^(y) (dt)/(sqrt(1+9t^(2))) and (d^(2)y)/(dx^(2)) = ay, then a...
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- int(-1)^(1) (x^3 + |x| + 1)/(x^2 + 2|x| + 1) dx is equal to :
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- If int0^1 (e^t)/(1 + t) dt = a, then int0^1 (e^t)/((1 + t)^(2))dt is e...
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- int(-2)^2 |x cos pi x|dx is equal to :
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- int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to
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- int(0)^(pi//4) sqrt(1 -sin 2x dx) is equal to :
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