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[Post New]15 Apr 2008 13:41:43 IST
    Subject: fghgjh
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shinee (247)

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7)(sin2x)/(sin5xsin3x)   ans   1/3loglsin3xl  - 1/5 loglsin5xl

11)(x+2)/ (1-x2 )        ans - (1-x2 )   + 2sin-x
12)cosec4x  ans  -cotx  -(cot3x)/3
SHREYA
    
[Post New]15 Apr 2008 19:22:16 IST
    Subject: Re:fghgjh
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sweet08 (72)

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 = -1/2 int (-2x/root1-x^2) +int( 2/root1-x^2)
= -1/2 (2 root 1-x^2)  + 2 sin(inv x)
= -root 1-x^2 +2sin(inv x) 
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[Post New]15 Apr 2008 22:57:37 IST
    Subject: Re:fghgjh
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sboosy (3063)

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\int cosec^4x \,dx \\ \\ = \int cosec^2x cosec^2x\,dx \\ \\ = \int (1+\cot^2x)cosec^2x\,dx \\ \\ = \int cosec^2x \,dx + \int \cot^2xcosec^2x\,dx \\ \\ = -\cot(x) - \frac{\cot^3x}{3}+c \\ \\ \\ \int \frac{\sin(2x)}{\sin(5x)\sin(3x)}\,dx \\ \\ = \int \frac{\sin(5x-3x)}{\sin(5x)\sin(3x)}\,dx \\ \\ = \int \cot(3x)\,dx - \int \cot(5x)\,dx \\ \\ = \frac{1}{3} \log(|\sin(3x)|) - \frac{1}{5} \log(|\sin(5x)|)+c
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