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IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nI...

`IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nIe q u a l s` (a)`(3cosx+8)/((3+4cosx)^2)+C` (b) `(3+8cosx)/(16(3+4cosx)^2)+C` (c)`(3cosx)/((3+4cosx)^2)+C` (d) `(3-8cosx)/(16(3+4cosx)^2)+C`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. int(3+2cosx)/((2+3cosx)^2)dx is equal to (a) ((sinx)/(3cosx+2))+c ...

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  2. int((x+2)/(x+4))^2 e^xdx is equal to

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  3. IfI=int(sin2x)/((3+4cosx)^3)dx ,t h e nIe q u a l s (a)(3cosx+8)/((...

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  4. If I=int (dx)/(secx + cosec x), then equals

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  5. int(x^3dx)/(sqrt(1+x^2)) is equal to (A) 1/3sqrt(1+x^2)(2+x^2)+C ...

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  6. inte^(tanx)(secx-sinx)dx"is equal to"

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  7. int e^x((x^2+1))/((x+1)^2)dx is equal to (a) ((x-1)/(x+1))e^x+c (b)...

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  8. intxsinxsec^3xdx" is equal to

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

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  10. int(ln((x-1)/(x+1)))/(x^2-1)dx is equal to (a)1/2(ln((x-1)/(x+1)...

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  11. Let g(x)=int(1+2cosx)/((cosx+2)^2)dxa n dg(0)=0. then the value of 8g(...

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  12. "Let " k(x)=int((x^(2)+1)dx)/(root(3)(x^(3)+3x+6)) " and " k(-1)=(1)/(...

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  13. Column I a) int(x^2-x+1)/(x^3-4x^2+4x)dx b) int(x^2-1)/(x(x-2)^3)dx ...

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  14. Let f(x)=intx^(sinx)(1+xcosxdotlnx+sinx)dxa n df(pi/2)=(pi^2)/4dot The...

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  15. Each question contains statements given in two columns which have to b...

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  16. The value of ∫e^2x ( 1/x ​ − 1/(2x^2) ​ )dx is

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  17. Statement 1: If the primitive of f(x)=pisinpix+2x-4 has the value -2 f...

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  18. Let f(x)=2^(2x−1)and ϕ(x) =−2^x+2xlog2. If f'(x)>ϕ'(x), then value of ...

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  19. Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-...

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  20. If intx^2dote^(-2x)dx=e^(-2x)(a x^2+b x+c)+d , then the value of |a/(b...

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