Find int((3sinvarphi-2)cosvarphi)/(5-cos...

Find `int((3sinvarphi-2)cosvarphi)/(5-cosvarphi-4sinvarphi)dvarphi`

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MODERN PUBLICATION-INTEGRALS-EXERCISE 7(i) LONG ANSWER TYPE QUESTIONS (I)

int(3x+1)/((x-2)^2(x+2))dx
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Evaluate: int(x^2+x-1)/((x+1)^2(x+2))\ dx
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(i) int 1/(1-x^3) dx (ii) int 1/(x^3-1) dx (iii) int (2x)/(x^3-1) ...
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int 2/((1-x)(1+x^2)) dx (ii) int x/((1-x)(1+x^2)) dx
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int 1/(x+x^2+x^3) dx
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int x^4/(x^4-16) dx
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(i) int (x dx)/(x^3+x^2+x+1) (ii) int (dx)/(x^3+x^2+x+1)
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Evaluate int(5x)/((x+1)(x^2+9))dx
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Evaluate: int(x^4\ dx)/((x-1)(x^2+1))
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(i) int 1/((x^2+1)(x^2+4)) dx (ii) int 1/((x^2+1)(x^2+2)) dx
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(i) int (x^2+1)/((x^2+4)(x^2+25)) dx (ii) int (2x^2+1)/(x^2(x^2+4)) d...
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Evaluate: int((x^2+1)(x^2+2))/((x^2+3)(x^2+4))\ dx
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(i) int (2x)/((x^2+1)(x^2+3)) dx (ii) int (2x)/((1+x^3)(2+x^3)) dx
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(i) int (sin 2x)/((1+sin x)(2-sinx))dx (ii) int (cos x)/((1+sinx) (2...
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Find int((3sinvarphi-2)cosvarphi)/(5-cosvarphi-4sinvarphi)dvarphi
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int(cosx)/((1+sinx)(2+sin x))dx
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(i) int (e^x dx)/(e^x (e^x-1)) (ii) int e^x/((1+e^x)(2+e^x)) dx (i...
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int (sec^2x)/((tanx+1)(tanx+2)) dx
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(i) int (log x)/(x(1+log x)(2+log x)) dx
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int(secx)/(1+cosecx)dx
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