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Find the integrals of the following func...

Find the integrals of the following functions :
`int(sin^(6)x+cos^(6)x)/(sin^(2)xcos^(2)x)dx`

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The correct Answer is:
`: I tanx-cotx-3x+C`
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KUMAR PRAKASHAN-INTEGRALS -SOLUTIONS OF NCERT EXEMLAR PROBLEMS (Short Answer Type Questions)
  1. Obtain the following integrals : int(1)/(sqrt(16-9x^(2)))dx

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  2. Obtain the following integrals : int(1)/(sqrt(3t-2t^(2)))dt

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  3. Obtain the following integrals : int (3x-1)/(sqrt(x^(2)+9))dx

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  4. Obtain the following integrals : int sqrt(5-2x+x^(2))dx

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  5. Obtain the following integrals : int (x)/(x^(4)-1)dx

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  6. Obtain the following integrals : int(x^(2))/(1-x^(4))dx

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  7. Obtain the following integrals : int sqrt(ax-x^(2))dx

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  8. Obtain the following integrals : int (sin^(-1)x)/((1-x^(2))^((3)/(2)...

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  9. Obtain the following integrals : int(cos(5x)+cos(4x))/(1-2cos(3x))dx

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  10. Find the integrals of the following functions : int(sin^(6)x+cos^(6)...

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  11. Integrate the following functions. int(sqrtx)/(sqrt(a^(3)-x^(3)))dx

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  12. Find the following integrals int(cosx-cos2x)/(1-cosx)dx

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  13. Obtain the following integrals : int (1)/(x sqrt(x^(4)-1))dx

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  14. Represent as limit of sum : overset(2)underset(0)int(x^(2)+3)dx

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  15. Represent as limit of sum : overset(2)underset(0)int e^(x)dx

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  16. Obtain following definite integrals : overset(1)underset(0)int (dx)/...

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  17. Obtain following definite integrals : overset((pi)/(2)) underset(0) ...

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  18. Obtain following definite integrals : overset(2)underset(1)int (1)/(...

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  19. Obtain following definite integrals : overset(1)underset(0)int (x)/(...

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  20. Obtain following definite integrals : overset(pi) underset(0) int x ...

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