Mathematics · Numerical Analysis
Consider the numerical integration formula: 1 ∫ -1 g(x) dx ≈ g(α) + g(-α) where α = (0.2) 1/4 . Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The integration formula is exact for polynomials of the form a + bx + cx 2 , for all a, b, c ∈ ℝ
- 2The integration formula is exact for polynomials of the form a + bx + cx 2 + dx 3 , for all a, b, c, d ∈ ℝ✓
- 3The integration formula is exact for polynomials of the form a + bx + cx 3 + dx 4 , for all a, b, c, d ∈ ℝ
- 4The integration formula is exact for polynomials of the form a + bx, for all a, b ∈ ℝ
Correct answer
The integration formula is exact for polynomials of the form a + bx + cx 2 + dx 3 , for all a, b, c, d ∈ ℝ
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