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Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x...

`Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n` (a) `a=-1/8,b=7/8` (b) `a=1/8,b=7/8` (c) `a=-1/8,b=-7/8` (d) `a=1/8,b=-7/8""`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then (a) ...

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  2. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

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  3. Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

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  4. If intsqrt((cosx-cos^3x)/((1-cos^3x)))dx=f(x)+c, then f(x) is equal to

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  5. If l^r(x) means logloglog...... x , the log being repeated r times, th...

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  6. I=int(cos4x+1)/(cotx-tanx)dx is equal to ?

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  7. If int(dx)/(sqrt(sin^3xcos^5x))=asqrt(cotx)+bsqrt(tan^3)x+c , then (...

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  8. int e^(tan^(-1)x)(1+x+x^2)d(cot^(-1)x) is equal to (a) -e^(tan^(-1)x)...

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  9. int(x^9dx)/((4x^2+1)^6) is equal to (a)1/(5x)(4+1/(x^2))^(-5)+c (b...

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  10. int(2sinx)/(3+sin2x)dx is equal to

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  11. intln(tanx)/(sinxcosx)dx is equal to (a)1/2ln(tanx)+c (b) 1/2ln(tan...

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  12. I=intsin^-1((2x)/(1+x^2)) dx is equal to

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  13. If int((1-x^7))/(x(1+x^7))dx=Plogabsx+Qlogabs(x^7+1)+c

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  14. ifint(dx)/(x^2(x^n+1)^(((n-1)/n))=-[f(x)]^(1/n)+c ,t h e nf(x)i s (1+...

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  15. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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  16. Evaluate: int sqrt(cos2x)/(sinx)dx

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  17. Evaluate: int(sqrt((1+x^2)/(x^2-x^4)))dx

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  18. Evaluate: int(x^2)/((a+b x)^2)dx

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  19. Evaluate: intsqrt(1+sin(x/2)dx)

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  20. Evaluate: int(x^2)/(sqrt(1-x))dx

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