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Let f : R →R and g : R → R be continuous functions, then the value of the integral
Let f : (0,∞) -> R and F(x) = If F(x2) = x2(1 + x), then f(4) equals
Let where g is a real-valued continuous function on R.
Then f'(x) is equal to
Let f : R → R be a continuous function. if fo r all x ∈ R, then f(3) is equal to
If a function f is continuous for x ≥ 0 and satisfies then the value of f'(π/4) is -
Let f : R → R be a continuous function. If for all x ∈ R , then f ( - 5 ) is equal to
Evaluate , where R is bounded by = x2 and y = x3
Find the length of the arc of the semi cubical parabola ay2 = x3 from its vertex to the point (a, a).
Evaluate the line integral taken along the line segment from (1.0) to (0. 1)
if hen which of one of the following is/are not correct ?
if then which of the following statements are true?
let f ; R — > R be a function with continuous derivative such that f(1) = 1.
if for all x ∈ R then,
Let f : R -> R be a differentiable function having Then is equal to _____________.
How many points of extrem um of the following integral
Let f : R → R be defined as
Then the value of is equal to __________.
If f(x) is defined [-2, 2] by f(x) = 4x2 - 3x + 1 and , then find the value of the integral
The area between the curves y = xex and y = xe-x and the line x = 1 is __________ ( Write upto Four decimal Places)
if a = 1 .then find the area of that part of the surface of the cylinder x2 + y2 = a2 which is cut only by the cylinder x2 + z2 = a2.
Find the value of taken in the clockwise sense along the closed curve C formed by y3 = x2 and the chord joining (0, 0) and (1,1).
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