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Evaluate: int0^pi(xtanx)/(secx+tanx)\ d...

Evaluate: `int_0^pi(xtanx)/(secx+tanx)\ dx`

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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Evaluate the following integral: int0^(15)[x^2]dx

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  2. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  3. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  4. Evaluate the following integral: int0^picos2xlogsinx\ dx

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  5. Evaluate the following integral: int(-pi)^pix^(10)sin^7x\ dx

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  6. Evaluate the following integral: int0^pi(dx)/(6-cosx)

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  7. Evaluate the following integral: int0^(pi//4)tan^2x\ dx

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  8. Evaluate the following integral: int1^3|x^2-2x|dx

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  9. Evaluate the following integral: int0^1|sin2pix|dx

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  10. Evaluate the following integral: int(-pi//2)^(pi//2)sin^9x\ dx

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  11. Evaluate the following integral: int0^(2pi)cos^7x\ dx

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  12. Evaluate the following integral: int0^(pi//2)1/(1+tan^3x)dx

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  13. Evaluate the following integral: int0^pixsinxcos^4x\ dx

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  14. Evaluate the following integral: int(-pi//4)^(pi//4)|tanx|dx

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  15. Evaluate the following integral: int0^pix/(1+cosalpha sin x)dx

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  16. Evaluate the following integral: int0^(pi//2)(cos^2x)dx

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  17. Evaluate the following integral: int(-pi)^pix^(10)sin^7x\ dx

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  18. Evaluate the following integral: int0^pi(dx)/(6-cosx)

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  19. Evaluate the following integral: int0^(pi//4)tan^2x\ dx

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  20. Evaluate the following integral: int1^3|x^2-2x|dx

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