Evaluate the Integral

Problem

(∫_0^3)(√(,17)*d(x))

Solution

1. Identify the integrand as a constant value, √(,17)

2. Apply the constant rule for integration, which states that (∫_^)(k*d(x))=k*x

3. Evaluate the definite integral by applying the Fundamental Theorem of Calculus at the boundaries 0 and 3

[√(,17)*x]30

4. Substitute the upper and lower limits into the expression.

√(,17)*(3)−√(,17)*(0)

5. Simplify the resulting expression to find the final value.

3√(,17)−0

3√(,17)

Final Answer

(∫_0^3)(√(,17)*d(x))=3√(,17)

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