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If f(x) is a continuous function of x, then exists a function ɸ(x) such that _________ .
Correct Answer Is : ɸ (x) = f (x) If we restrict domain of x to (a,b), then the difference ɸ(b) - ɸ(a) is called ___________ . Correct Answer Is : All of these If ∫f(x)dx = ɸ(x) + c , then (integration a to b)f(x)dx = Correct Answer Is : ɸ(b) + ɸ(a) True or false: in definite integrals there is no need of taking the constant of integration. Correct Answer Is : MAYBE Evaluate: (integration 0 to 4) (1 / (√(4x- x^2)).dx Correct Answer Is : Π / 4 The area of the portion lying above the ____________ is positive. Correct Answer Is : Dependent on assumption True or false: (integration 0 to (Π / 4 )) sin^4 x.dx is 3Π. Correct Answer Is : None of these Evaluate: (integration 0 to 1) (1 / (2x + 5)).dx Correct Answer Is : -1 Find the volume of sphere of radius 6. Correct Answer Is : 28Π cubic units