Integrate the functions in exercise. (...

Integrate the functions in exercise.
`(3x^(2))/(x^(6)+1)`

Text Solution

Verified by Experts

The correct Answer is:

`tan^(-1)(x^(3))+c`

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KUMAR PRAKASHAN-INTEGRALS -EXERCISE 7.4

Integrate the functions in exercise. (3x^(2))/(x^(6)+1)
02:29
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Integrate the functions in exercise. (1)/(sqrt(1+4x^(2)))
01:27
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Integrate the function 1/(sqrt((2-x)^(2)+1))
03:01
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Integrate the functions in exercise. (1)/(sqrt(9-25x^(2)))
04:13
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Integrate the function (3x)/(1+2x^(4))
03:29
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Integrate the functions in exercise. (x^(2))/(1-x^(6))
02:49
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Integrate the functions in exercise. (x-1)/(sqrt(x^(2)-1))dx
01:25
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Integrate the function (x^(2))/(sqrt(x^(6)+a^(6)))
02:28
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Integrate the function (sec^(2)x)/(sqrt(tan^(2)x+4))
01:45
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Integrate the functions in exercise. (1)/(sqrt(x^(2)-2x+2))
04:43
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Integrate the function 1/(9x^(2)+6x+5)
04:09
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Integrate the functions in exercise. (1)/(sqrt(7-6x-x^(2)))
01:53
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Integrate the function 1/(sqrt((x-1)(x-2)))
03:52
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Integrate the function 1/(sqrt(8+3x-x^(2)))
02:30
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Integrate the functions in exercise. (1)/(sqrt((x-a)(x-b)))
Text Solution
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Integrate the function (4x+1)/(sqrt(2x^(2)+x-3))
01:43
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Integrate the function (x+2)/(sqrt(x^(2)-1))
02:35
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Integrate the function (5x-2)/(1+2x+3x^(2))
08:22
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Integrate the function (6x+7)/(sqrt((x-5)(x-4)))
04:24
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Integrate the function (x+2)/(sqrt(4x-x^(2)))
04:37
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