ANother parametric Integral..

JEE Mains Coaching › Calculus questions › ANother parametric Integral..

I am not a fan of these.. but these have been discussed a few times here.. once long back.. an year.. and once recently by eureka..

A couple of these for those who are interested...

Try to integrate

1) \int_{0}^{\infty}\frac{e^{-x}\sin x}{x}dx

2) \int_{0}^{1}\frac{x-1}{\ln x}dx

#Mathematics #Calculus

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kaymant ·2009-10-10 08:11:43

The second one here:
http://targetiit.com/iit-jee-forum/posts/an-integral-difficult-to-resist-10816.html

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Arshad ~Died~ ·2009-10-10 08:15:03

i remember dat....it took 2 days to solve.....really wierd type of question....had to obtain the integral from the result rather than the result from the integral.........

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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

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

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

° ∂ ∞ 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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ANother parametric Integral..

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