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int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=...

`int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=`

A

`(1)/(2) sin 2x + C`

B

`-(1)/(2) sin 2x + C`

C

`-(1)/(2) sin x + C`

D

`-sin^(2) x + C`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
  1. If int f(x)dx=psi(x), then int x^5f(x^3)dx

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  2. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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  3. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

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  4. The integral intxcos^(-1)((1-x^(2))/(1+x^(2)))dx(xgt0) is equal to

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  5. int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx=

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  6. If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^...

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  7. The integral int(dx)/(x^(2)(x^(4)+1)^(3//4)) equal

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  8. The integral I = int (dx)/((x+1)^(3//4)(x-2)^(5//4)) is equal to

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  9. if I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)dt=1/2(g(t))^2+c then g(2) is ...

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  10. The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...

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  11. The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C ...

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  12. If int(1)/(cos^(2)xsqrt(2 sin2x))dx=(tanx)^(A)+C(tanx)^(B)+k, where k...

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  13. Evaluate: intsqrt(1+2cotx(cotx+cosecx))dx

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  14. I ff((3x-4)/(3x+4))=x+2, x!=4/3,andintf(x)dx=Alog|1-x|+B x+C then orde...

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  15. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

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  16. If int (2x + 5 )/(sqrt(7 - 6 x - x ^ 2 )) dx = A sqrt (7 - ...

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  17. if f ((x- 4 ) /(x + 2 )) = 2 x + 1 , (x in R - { 1, - 2 }) , ...

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  18. int\ (sin^2 x cos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 \ d...

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  19. If int (x+1)/(sqrt(2x-1))dx = f(x)sqrt(2x-1)+C, where C is a constant ...

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  20. int(3x^(13)+2x^(11))/((2x^4+3x^2+1)^4)dx

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