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Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan...

`Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C` Then (a) `a=1/(10),b=-2/5` (b) `a=1/(10), b=-2/5` (c) `a=-1/(10),b=2/5` (d) `a=1/(10),b=2/5` ``

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CENGAGE PUBLICATION-INTEGRALS-All Questions
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  4. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

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

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

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

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

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

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

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

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

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

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  16. 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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  17. 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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  18. Evaluate: int sqrt(cos2x)/(sinx)dx

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

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

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