solve the definite integral

IIT JEE Online › Calculus questions › solve the definite integral

₀âˆ«^2Ï€(sinxcos[x]-cosxsin[x])/(cosxcos[x]+sinxsin[x])dx

#Mathematics #Calculus

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7 Answers

33

Abhishek Priyam ·2008-10-31 00:08:46

thats [] integral part ??
oh i think this is not that tough as it may seem, but gud question...

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1

Kumar Saurabh ·2008-10-31 00:29:52

yeah [] is the integral part

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mkagenius ·2009-01-26 01:50:31

break the integrals in parts and solve ...

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11

Subash ·2009-01-26 03:34:29

it is sin (x-[x])/cos(x-[x])

so tan(x-[x])

=tan{x}

now it should be easy

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3

msp ·2009-01-26 04:03:36

The definite integral cant be solved i think so

please reply and correct me if i was wrong...

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3

msp ·2009-01-26 04:06:40

The reqd area is going upto infinity and for o to âˆ©/2 and âˆ© to 3âˆ©/2
and it is going to -infinity for âˆ©/2 to 2âˆ© and 3âˆ©/2 to 2âˆ©

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msp ·2009-01-26 04:44:03

no replyyyy

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Your Answer

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