TOUGH INTEGRAL( REALLY )

JEE Mains 2015 Guidance › Calculus questions › TOUGH INTEGRAL( REALLY )

question is as mentioned by SR (SEE DOWN)

ANS ----> cot A { log sec(x+A) - log sec x}

#Mathematics #Calculus

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5 Answers

1

" ____________ ·2010-03-06 23:43:59

\int \left(1 + tan x . tan ( x + A ) dx \right)

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" ____________ ·2010-03-06 23:45:50

there is no x besides tanx ...

since ans is same as given by manmay

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" ____________ ·2010-03-07 01:41:22

\int \left( 1 + \frac{sin x . sin ( x + A )}{cosx . cos ( x + A) } \right)

\int \left( \frac{cosx . cos ( x + A ) + sin x .sin ( x + A) }{cosx . cos ( x + A ) } \right)dx

\int \left( \frac{cos ( x + A- x ) }{cosx . cos ( x + A ) } \right)dx

cos A \int \left( \frac{dx }{cosx . cos ( x + A ) } \right)

further simplify

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" ____________ ·2010-03-07 03:09:14

cot A \int \frac{sin A . dx}{cosx . cos ( x + A ) }

cot A \int \frac{sin ( x + A - x) . dx}{cosx . cos ( x + A ) }

cot A \int \left( \frac{sin ( x + A ) . cos x}{cosx . cos ( x + A ) }- \frac{cos ( x + A ) .sin x}{cosx . cos ( x + A ) }\right )dx

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" ____________ ·2010-03-07 03:10:55

cot A\left( \int tan ( x + A ).dx - \int tan x .dx \right)

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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