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Evaluate the integerals. f sin mx si...

Evaluate the integerals.
`f sin mx sin nx dx on R, m ne n, m and n` are positve intergers.

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The correct Answer is:
`(1)/(2) [(sin(m- n)x)/(m - n) - (sin(m + n)x)/(m + n) ] ` + c
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AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int (cos 6x - cos 4x)/(sin 6x - sin...

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  2. Evalute the following integrals int (dx)/(sin x + sin 2x )

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  3. Evaluate the integerals. f sin mx sin nx dx on R, m ne n, m and n ...

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  4. Evalute the following integrals int cos mx cos nx dx

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  5. Evalute the following integrals int (2x^(2) -3 " sin x " + 5 sqrt(x...

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  6. Evalute the following integrals int (4x^((3)/(2)) - (5)/(sqrt(x)) + ...

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  7. int [(1)/(sqrt(1-x^(2)))+2^(x)+e^(x)]dx=

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  8. Evalute the following integrals int (3x + 7)/(3x^(2) + 14 x- 5)

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  9. Evalute the following integrals int (4x + 1)/(sqrt(2x^(2) + x -3)) ...

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  10. Evalute the following integrals int (sin x)/(1 + cos x) dx

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  11. Evalute the following integrals int (sin x)/((1 + cos x)^(2)) dx

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  12. Evalute the following integrals int (cos x)/(sqrt(1 + sin x)) dx

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  13. Evalute the following integrals int ("cosec"^(2)x)/((1 + cot x)^(2))...

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  14. Evalute the following integrals int (e^(2x) - e^(-2x))/(e^(2x) + e^(...

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  15. Evalute the following integrals int (1)/(1 + e^(-x)) dx

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  16. Evalute the following integrals int (dx)/(sqrt(x^(2) - 36))

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  17. Evalute the following integrals int (dx)/(x^(2) + 81)

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  18. Evalute the following integrals int (dx)/(x^(2) - 64)

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  19. Evalute the following integrals int (dx)/(x^(2) + 2x + 2)

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  20. Evalute the following integrals int (1)/(9 +x^(2)) dx

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