integration

2 Answers

1357

Manish Shankar ·2009-10-02 05:58:31

if you have tried show your steps

Q.) First convert all the trigonometric functions into sin and cos form.

( 1 - { cos^n-2x / sin^n-2x } ) / ( sinx/cosx + cosx/sinx .{ cos^n-2x / sin^n-2x} )

u'll get : ( sin^n-2x - cos^n-2x )cosx.sinx / ( sinⁿx + cosⁿx )

now, substitute t = sinⁿ x + cosⁿ x and now solve.

u'll get : 1/n ln | sinⁿx + cosⁿx |

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

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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