3 Toughest Integral

JEE Advanced 2015 Papers › Calculus questions › 3 Toughest Integral

\hspace{-16}\bf{(1)\;\; \int\frac{x^2-1}{(x^2+1)\sqrt{1+x^4}}dx}$\\\\\\ $\bf{(2)\;\;\int\frac{x^2}{(x^4-1)\sqrt{x^4+1}}dx}$\\\\\\ $\bf{(3)\;\;\int\frac{x-1}{(x+1)\sqrt{x^3+x+1}}dx}$

#Mathematics #Calculus

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7 Answers

383

Soumyabrata Mondal ·2012-10-15 10:01:41

(1) 1âˆš2sec^-1 x+1xâˆš2+c

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383

Soumyabrata Mondal ·2012-10-15 10:01:42

(1) 1âˆš2sec^-1 x+1xâˆš2+c

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1708

man111 singh ·2012-10-18 03:26:09

Somya Would You Like To explain Your naswer.......

Thanks.

\hspace{-16}$Sorry last Integral is.........\\\\\\ $\bf{\int\frac{(x-1)}{(x+1).\sqrt{x^3+x^2+x}}dx}$

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383

Soumyabrata Mondal ·2012-10-18 05:46:17

1st one is

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383

Soumyabrata Mondal ·2012-10-18 05:47:06

3rd one is

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383

Soumyabrata Mondal ·2012-10-18 05:54:45

1st pert of 2nd one is

is it correct??

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Soumyabrata Mondal *part
Upvote·0· Reply ·2012-10-18 05:55:11
Soumyabrata Mondal *part
Upvote·0· Reply ·2012-10-18 05:55:17
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383

Soumyabrata Mondal ·2012-10-18 05:54:46

1st pert of 2nd one is

is it correct??

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Your Answer

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