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AP EAMCET2001MathematicsDefinite Integration

Using the Trapezoidal rule, the approximate value of ₁^4 y d x

Options

  1. A0.1833
  2. B1.1833
  3. C2.1833
  4. D3.1833

Correct answer

C. 2.1833

Step-by-step solution

We have, aligned h & = 4-1 3 =1 ₁^2 y d x & = 1 2 h [y₁+2 (y₂+y₃ )+y₄ ] & = 1 2 1[0.7111+2(0.7222+0.7333)+0.7444] & =2.1833 aligned [OBJECT END

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