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Integrate the following functions : int ...

Integrate the following functions : `int (dx)/(3sin^(2)x+4cos^(2)x)`

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Verified by Experts

The correct Answer is:
`1/(2sqrt(3))tan^(-1)((sqrt(3)tanx)/2)+C`
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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION IV MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Integrate the following functions : int dx/(sqrt((2-x)^(2)+1)

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  2. Evaluate : int (x-1)/(sqrt(x^2+1))dx.

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  3. Integrate the functions: (3x^2)/(x^6+1)

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  4. Integrate the functions: 3x/(1+2x^4)

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  5. Integrate the function: cosx/(sqrt(4-sin^2x))

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  6. Find the following integral: int (sinx)/(sin(x+a)) dx

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  7. Integrate the following functions : int (sin(x-alpha))/(sin(x+alpha))d...

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  8. Integrate the following functions : int (cos(x+a))/(sin(x+b))dx

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  9. Integrate the following functions : int (e^(x))/(e^(2x)+1)dx

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  10. Integrate the following functions : int (dx)/(sqrt(1-e^(2x)))dx

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  11. Evaluate int sqrt((1-x)/(1+x) dx.

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  12. Integrate the following functions : int sqrt((3+x)/(3-x))dx

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  13. Integrate the following functions : int sqrt((a-x)/(a+x))dx

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  14. Integrate the following functions : int sqrt(e^(x)-1)dx

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  15. Integrate the following functions : int (dx)/(3sin^(2)x+4cos^(2)x)

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  16. Integrate the following functions : int (dx)/(2+sin^(2)x)

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  17. Integrate the following functions : int 1/(5cosx-12sinx) dx

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  18. Integrate the following functions : int 1/(3cos x+4sinx)dx

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  19. Integrate the following functions : int 1/(sin(x-a)sin(x-b))dx

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  20. Integrate the following functions : int(2x^2-3sinx+5sqrtx)dx

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