Question

Define a function f as follows: f ( x ) = sin ⁡ ( x )...

Define a function f as follows:

f ( x ) = sin ⁡ ( x ) x , i f x ≠ 0 , a n d f ( 0 ) = 1.

Then f is a continuous function. Find the trapezoidal approximation to the integral ∫ 0 π f ( x ) d xusing n = 4 trapezoids. Write out the sum formally and give a decimal value for it.

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