Question

1.Evaluate: (i) -2/18 + -7/18​

Answer 1

Answer:

Step-by-step explanation:

You may exploit:

x4+1=(x2+1)2−2x2=(x2−x2–√+1)(x2+x2–√+1)(1)

to write 11+x4 as

11+x4=122–√(x+2–√x2+x2–√+1−x−2–√x2−x2–√+1).(2)

After that,

∫x±2–√x2±x2–√+1dx=C+12log(x2±x2–√+1)+arctan(1±x2–√)(3)