area

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The smaller area enclosed by y = f(x) when f(x) is polynomial of least degree satisfying
$\lim_{x->0}(1+(f(x) / x^3))$ ^1/x = e and the circle x² + y² = 2 above the x axis is

a) \pi / 2

b) 3/5

c) \pi2 - 35

d) \pi2 + 35

#Mathematics #Calculus

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2 Answers

govind ·2010-02-22 07:35:59

Ans C
f(x) = x⁴
Sry latex nt working..

Find âˆ«₀¹ f(x) = 1/5 and âˆ«₁^√2 √2 - x² = Ï€/4 - 1/2 ..add both these areas and then multiply by 2..coz the graph is symmetric abt y axis

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SANDIPAN CHAKRABORTY ·2010-02-22 07:37:10

ans c
area to minus karna hai
anyway thanks got the concept

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Basic Integral Calculus Operators Symbols Matrix Cases

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∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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