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`"If " f(x)=sqrt(x),g(x)=e^(x)-1, " and " int fog(x)dx=A fog(x)+B tan^(-1)(fog(x))+C, " then " A+B " is equal to "-.`

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int(x^2)/(sqrt(1-x dx))

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  2. Evaluate: int(e^(logx)+sinx)cosxdx

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  3. "If " f(x)=sqrt(x),g(x)=e^(x)-1, " and " int fog(x)dx=A fog(x)+B tan^(...

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  4. If int(2cosx-sinx+lambda)/(cosx+sinx-2)dx=Aln|cosx+sinx-2|+B x+C , the...

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  5. If int[(x/e)^x+(e/x)^x]lnxdx=A(x/e)^x+B(e/x)^x+C then the value of A+B...

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  6. Evaluate: int(sinx)/(sinx-cosx)dx

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  7. Evaluate: int((x-1)e^x)/((x+1)^3)dx

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

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  9. 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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  10. 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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  11. The value of int(a x^2-b)/(xsqrt(c^2x^2-(a x^2+b)^2)) (a) 1/csin^(-...

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

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  13. 4int(sqrt(a^6+x^8))/x dx is equal to (a)sqrt(a^6+x^8)+(a^3)/2ln|...

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

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

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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 ...

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

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

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

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