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Find the following integral : int (sec^2...

Find the following integral : `int (sec^2(x))/(cosec^2(x)) dx`

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The correct Answer is:
`tanx-x+C`
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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION II MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals : int x^(3)(1-1/(x^(3)))dx

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

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  3. Find the following integral : int (sec^2(x))/(cosec^2(x)) dx

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  4. Find the following integral : int secx (secx + tanx) dx

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  5. Find the following integrals: int (1-sinx)/(cos^2x)dx

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  6. Evaluate the following integrals : int1/(1+cosx)dx

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  7. Evaluate the following integrals : int1/(1-cosx)dx

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  8. Evaluate the following integrals : int(1+sinx)/(1-sinx)dx

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  9. Evaluate the following integrals : int(2cosx)/(3sin^(2)x)dx

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  10. Evaluate the following integrals : int(sin^(6)x+cos^(6)x)/(sin^(2)xcos...

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  11. Evaluate the following integrals : int(e^(5loge^(x))-e^(4loge^(x)))/(e...

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  12. Find the following integerals : intsec^(2)(7-4x)dx

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  13. Find the following integerals : int(ax+b)^(3)dx

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  14. Find the following integerals : int1/(sqrt(5+x)+sqrt(x))dx

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  15. Find the following integerals : int(x+3)/(x^(2)+4x+3)dx

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  16. Find the following integerals : int(x^(3)+3x^(2)+2x+1)/(x)dx

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  17. Find the following integerals : intsin3xcos4xdx

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  18. Find the following integerals : int cosx cos 7x dx

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  19. Find the following integerals : int cos 2x cos 4x cos 6x dx

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  20. Find the following integerals : int sin x sin 2x sin 3xdx

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