∫x2 + 1x6(x2 + 1)dx + 2∫dxx6(x2 + 1)
∫x-6dx + 2∫dxx6(x2 + 1)
Now for the second integral,
Let,
x = tanz
dx = sec2zdz
2∫sec2zdztan6z(tan2z + 1)
2∫dztan6z
2∫cos6zsin6zdz
∫x2 + 1x6(x2 + 1)dx + 2∫dxx6(x2 + 1)
∫x-6dx + 2∫dxx6(x2 + 1)
Now for the second integral,
Let,
x = tanz
dx = sec2zdz
2∫sec2zdztan6z(tan2z + 1)
2∫dztan6z
2∫cos6zsin6zdz