∫x sin(x²) dx is:
∫x sin(x²) dx is:
- A. (1/2)cos(x²) + C
- B. −(1/2)cos(x²) + C
- C. 2cos(x²) + C
- D. −2cos(x²) + C
Answer: B) −(1/2)cos(x²) + C
Explanation: Substitute u = x², du = 2x dx → x dx = du/2. ∫sin u (du/2) = −(1/2)cos u + C = −(1/2)cos(x²) + C.
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