JEE Questions for Maths Indefinite Integrals Quiz 1 - MCQExams.com

Let f be a function such that f(= 4 and f '(x) ≥ 2 for 1 ≤ x ≤ 4. How small can f(possible be ?

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8
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16
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2
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10

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x + C
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log x - f(x) + C
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f(x) + log x + C
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f(x) - log x + C
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If f(x) and g(x) are twice differentiable function on (0,satisfying f ''(x) = g''(x), f '(=4, g'(= 6, f(= 3, g(= 9, then f(- g(is equal to

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4
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-4
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0
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-2

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x cos (log x) + C
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cos (log x) + C
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x sin (log x) + C
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sin (log x) + C

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If u = - f '' (θ) sinθ + f ' (θ) cosθ and v = f '' (θ) cosθ + f ' (θ) sinθ, then
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f(θ) - f ' (θ) + C
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f(θ) + f '' (θ) + C
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f ' (θ) + f '' (θ) + C
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f ' (θ) - f '' (θ) + C
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f (θ) + f ' (θ) + C

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cos 2x + C
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2 cos 2x + C
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- cos 2x + C
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- 2 cos 2x + C

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log |sec x + tan x| + C
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log |secx + cosec x| + C
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1/2 log |sec 2x +tan 2x| + C
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log |sec 2x + cosec 2x| + C
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log |sec 2x cosec 2x| + C

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x + C
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e

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If f ' (x) = x + 1/x, then the value of f(x) is

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x2 + log x + C
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x2/2 + log x + C
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x/2 - log x + C
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None of these

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