urgent please help

Question

Approximate the following definite integral to three decimal places (Use the first four terms). 0 to 0.5 sin(x^4)dx

Answer 1

sinx = x - x³/3! + x⁵/5! - x⁷/7! + ...

So, sin(x⁴) = x⁴ - x¹²/3! + x²⁰/5! - x²⁸/7! + ...

Integrate and evaluate from 0 to 0.5.