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Find the integrals of the functions (c...

Find the integrals of the functions
`(cos2x)/((cosx+sinx)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`logabs(cosx+sinx)+C`
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NCERT GUJARATI-INTEGRALS-EXERCISE 7.3
  1. Find the integrals of the functions sin^(3) x cos^(3) x

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  2. Find the integrals of the functions sin x sin 2x sin 3x

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  3. Find the integrals of the functions sin 4x sin 8x

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  4. Find the integrals of the functions (1-cosx)/(1+cosx)

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  5. Find the integrals of the functions (cosx)/(1+cosx)

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  6. Find the integrals of the functions sin^(4)x

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  7. Find the integrals of the functions cos^(4)2x

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  8. Find the integrals of the functions (sin^(2)x)/(1+cosx)

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  9. Find the integrals of the functions (cos2x-cos2alpha)/(cosx-cosalpha...

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  10. Find the integrals of the functions (cosx-sinx)/(1+sin2x)

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  11. Find the integrals of the functions tan^(3)2xsec2x

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  12. Find the integrals of the functions tan^(4)x

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  13. Find the integrals of the functions (sin^(3)x+cos^(3)x)/(sin^(2)xcos...

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  14. Find the integrals of the functions (cos2x+2sin^(2)x)/(cos^(2)x)

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  15. Find the integrals of the functions 1/(sinxcos^(3)x)

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  16. Find the integrals of the functions (cos2x)/((cosx+sinx)^(2))

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  17. Find the integrals of the functions sin^(-1)(cosx)

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  18. Find the integrals of the functions 1/(cos(x – a) cos (x – b))

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  19. Choose the correct answer int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)d...

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  20. Choose the correct answer int(e^(x)(1+x))/(cos^(2)(e^(x)x))dx equals

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