Question

Use the Fundamental Theorem of Calculus to evaluate ∫₁⁸1/√(x²) d x.

Answer 1

The value of the given integral, using the Fundamental Theorem of Calculus, is 7.

Step-by-step explanation:

The given integral is ∫₁⁸1/√(x²) dx. We can use the Fundamental Theorem of Calculus to evaluate this integral.

First, we find the antiderivative of the integrand, which is √(x²) = |x|. Since we have a definite integral with limits of integration from 1 to 8, we can evaluate the antiderivative at the upper limit (8) and subtract the value at the lower limit (1).

Therefore, the value of the integral is |8| - |1| = 8 - 1 = 7.