The conversation between human and AI assistant.
What is the answer to this trig substitution problem (x^4)?
That looks much simpler. How do we finish this?
Now we can integrate each term separately. The first term integrates to (1/8)theta. The second term integrates to (1/8)sin(2theta). The third term integrates to (3/32)sin(4theta). The fourth term integrates to (1/24)sin(6theta). And the fifth term integrates to (1/64)sin(8theta). So, the final answer is: (1/8)theta + (1/8)sin(2theta) - (3/32)sin(4theta) + (1/24)sin(6theta) - (1/64)sin(8theta) + C.