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If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and ...

If `f^(prime)(x)=1/(-x+sqrt(x^2+1)) ` and `f(0)=(1+sqrt(2))/2` then `f(1)` is equal to- (a) ` log"(sqrt(2)+1)` (b) 1 (c)`1+sqrt(2)` (d) none of these

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

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

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

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

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

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

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

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  19. 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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  20. 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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