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Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1...

Statement 1: `int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C` Statement 2: For integration by parts, we have to follow ILATE rule. Which of the following Statements is/are correct ?

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CENGAGE ENGLISH-INTEGRALS-All Questions
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  2. If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n (a)A=-1/8 (b) B=1/...

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  3. Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement...

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  5. int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx=A x+Blog(9e^(2x)-4)+C ,t h e n A= ...

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  7. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

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  8. Evaluate: for m in N , intx^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

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  9. Evaluate: int(cos^4x)/(sin^3x(sin^5x+cos^5x)^(3/5))dx

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  10. Evaluate: int sqrt(1+cosec x) dx ,(0 < x < pi/2)

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  11. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

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  12. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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  13. Evaluate: int(dx)/(x^3sqrt(x^2-1))

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  16. Evaluate: intsqrt((3-x)/(3+x))sin^(-1)(1/6sqrt(3-x))dx

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  17. Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

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  18. Evaluate: If intcos^nxdotdx prove that In=1/n(cos^(n-1)xsinx)+((n-1)/n...

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  19. Evaluate: int(x^2-1)/(xsqrt((x^2+alphax+1)(x^2+betax+1)))dx

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  20. Evaluate: int(e^(tan^(-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)(...

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