01-09-09 Integration tough

VITEEE 2015 Papers › Question Of the Day questions › 01-09-09 Integration tough

One integration, that has really taken a lot of my mind space...

âˆ«(tan x)^1/6dx

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kaymant ·2009-09-02 08:02:42

The substitution tan x = t⁶ reduces the integral to
\int \dfrac{6t^6\ \mathrm dt}{1+t^{12}}
which being rational can be expressed in terms of elementary functions (with a bit of patience).

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Arshad ~Died~ ·2009-09-02 11:33:45

this reminds me of a post by kaymant sir
http://targetiit.com/iit-jee-forum/posts/for-all-u-iitians-out-there-even-my-fiitjee-sir-co-10832.html

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Lokesh Verma ·2009-09-05 03:21:22

haha.. yeah i doubt too many ppl have that much patience :)

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Devil ·2009-09-05 07:17:14

These indefinite ones are so stupid!
They only test how much u can fight against brute force!
I realllllllllll....âˆžtimes hate them!

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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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01-09-09 Integration tough

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