Try this out

JEE Advanced Papers › Calculus questions › Try this out

âˆ«tan-1(x)=?????????????????????

#Mathematics #Calculus

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8 Answers

39

Dr.House ·2009-03-03 09:03:56

this is a standard one

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39

Dr.House ·2009-03-03 09:07:23

answer is xtan^-1x -1/2 ln(1+x²)+c

coming to how to do it, use integration by parts keeping in mind ilate rule.
tan^-1x and 1 are the two functions here

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33

Abhishek Priyam ·2009-03-03 09:08:17

\huge {\color{red}\int tan^{-1}xdx}

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24

eureka123 ·2009-03-03 09:27:09

ye kya cheez hai priyam????

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33

Abhishek Priyam ·2009-03-03 09:27:11

xtan^{-1}x-\frac{1}{2}\log_{e} (1+x^2)+c

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33

Abhishek Priyam ·2009-03-03 09:27:39

Latex :)

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33

Abhishek Priyam ·2009-03-03 09:28:45

http://targetiit.com/iit_jee_forum/posts/latex_enabled_2983.html

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39

Dr.House ·2009-03-03 09:29:35

main bhii toh wahii likja na priyam. kya latex ke bina likhe toh answer not valid?

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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

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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