Evaluate the Integral

Problem

(∫_a^b)(ƒ(x)*d(x))

Solution

1. Identify the expression as a definite integral of a function ƒ(x) over the interval [a,b]

2. Apply the Fundamental Theorem of Calculus, which states that if F(x) is an antiderivative of ƒ(x) then the integral is calculated by evaluating F(x) at the upper and lower limits.

3. Calculate the difference between the value of the antiderivative at the upper limit b and the lower limit a

Final Answer

(∫_a^b)(ƒ(x)*d(x))=F(b)−F(a)

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