Integral of (x^2)/(1+x^6) dx
The solution
Detail solution
-
Let u=x3.
Then let du=3x2dx and substitute du:
∫3u2+31du
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The integral of u2+11 is 3atan(u).
Now substitute u back in:
3atan(x3)
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Add the constant of integration:
3atan(x3)+constant
The answer is:
3atan(x3)+constant
The answer (Indefinite)
[src]
/
|
| 2 / 3\
| x atan\x /
| ------ dx = C + --------
| 6 3
| 1 + x
|
/
3arctanx3
The graph
Use the examples entering the upper and lower limits of integration.