integration

JEE Advanced Tutorials › Calculus questions › integration

âˆ«F(x)sinxcosx.dx = F(x)/ 2(b² - a²),then F(x) =?

1) 1/a²sin²x + b²sin²x
2) 1/a²sin²x - b²cos²x
3)1/a²cos²x + b²sin²x
4) 1/a²cos²x - b²sin²x

#Mathematics #Calculus

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7 Answers

1

skygirl ·2008-12-21 05:42:17

wats this?
i mean, no limits ?

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pinky ·2008-12-21 05:44:35

no limits are specified in the ques.

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skygirl ·2008-12-21 05:47:32

ok..
but wats a and b?
variables or constant (shud be) .. integers or real nos. ... ?
nothing mentioned ?

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pinky ·2008-12-21 05:48:54

i've edited the ques.(included options)..i gess it 'll be clear now..

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dimensions (dimentime) ·2008-12-21 05:53:23

now, first differentiate the experssinn wrt x

f(x)sinxcosx = f'(x)/2(b²-a²)

now, its a differential equation,

(b²-a²) âˆ«sin2x dx = âˆ«f'(x)/f(x)

now solve further,

hope u got it...........

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Pavithra Ramamoorthy ·2008-12-21 05:54:48

even no option was there while i saw d question........

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skygirl ·2008-12-21 05:55:05

gr8!

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Your Answer

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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