Explanation Given information: A definite integral of the form ∫ a b f ( x ) d x is approximated by trapezoidal rule as shown in the figure below, Explanation: The input for calculating definite integral ∫ a b f ( x ) d x using trapezoidal rule, the format on ti- 84 calculator is given below: ( Calculate first term saperately + sum ( seq ( 2 f ( x ) ) , X , a + Δ x , b − Δ x , Δ x ) + Calculate second term saperately ) ⋅ Δ x 2 After implementing trapezoidal rule, store the result in variable T . By comparing the format of trapezoidal rule with the input given in above figure, First term = sin ( 2 2 ) , f ( x ) = sin ( x 2 ) , a + Δ x = 2.5 , b − Δ x = 5.5 Δ x = 0.5 , Last term = sin ( 2 2 ) Substitute the value of Δ x = 0.5 in a + Δ x = 2.5 , ⇒ a + 0.5 = 2

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Chapter 9.4, Problem 36E

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f(x), a, b and n using following figure whichgives a definite integral of the form ∫abf(x) dx is approximated by trapezoidal rule.

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Chapter 9.4, Problem 35E

Chapter 9.4, Problem 37E

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f ( x ) , a , b and n using following figure whichgives a definite integral of the form ∫ a b f ( x ) d x is approximated by trapezoidal rule.

Solution Summary: The author illustrates how a definite integral is approximated by trapezoidal rule. The format of the ti-84 calculator is given below.

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f(x), a, b and n using following figure whichgives a definite integral of the form ∫abf(x) dx is approximated by trapezoidal rule.

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