Mathematics · Integral Calculus
Let f(x) = ∫a∞ sin tx2 + t2 dt, where a > 0 is a fixed real number. Select the correct option regarding f(x) on ℝ:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is bounded but not continuous on ℝ
- 2f(x) is neither continuous nor bounded on ℝ
- 3f(x) is both continuous and bounded on ℝ✓
- 4f(x) is continuous but not bounded on ℝ
Correct answer
f(x) is both continuous and bounded on ℝ
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