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Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+...

`Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C ,` then (a)`f(x)=1/2x^2` (b) `g(x)=logx` (c)`A=1` (d) none of these

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int((x-1)e^x)/((x+1)^3)dx

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  2. Evaluate: int(dx)/(x^2(x^4+1)^(3/4))

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  3. Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C , then (a)f(x)=1/2x^2 ...

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  4. IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s a. 1/2((sqrt(x^2-1...

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  5. The value of int(a x^2-b)/(xsqrt(c^2x^2-(a x^2+b)^2)) (a) 1/csin^(-...

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  6. Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) ...

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  7. 4int(sqrt(a^6+x^8))/x dx is equal to (a)sqrt(a^6+x^8)+(a^3)/2ln|...

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  8. "If " I=int e^(-x)log(e^(x)+1)dx, " then " I " equals "

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  9. IfI(m , n)=intcos^m xsinn xdx , then 7I(4,3)-4I(3,2)" is equal to" (a...

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

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  11. Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

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

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  13. Ifintxe^xcosx dx=a e^x(b(1-x)sinx+c xcosx)+d ,t h e n (a) a=1,b=1,c=...

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  14. If I=int sqrt((5-x)/(2+x)) dx, then equal

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  15. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

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  16. Evaluate: intcos2thetaln((costheta+sintheta)/(costheta-sin theta))d th...

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  17. Evaluate: int(1/(x^3+x^4)+(ln(1+x^(1/6))/(x^(1/3)+sqrt(x)))dx

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  18. Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

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  19. IfI=int(dx)/((a^2-b^2x^2)^(3/2)),t h e nIe q u a l (a)x/(sqrt(a^2-b...

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  20. If I=int(sqrt(cotx)-sqrt(tanx))dx ,t h e nIe q u a l sqrt(2)"log"(sq...

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