Math Problem Statement

find the integral by substitution of this equation. a being 1 and b being 9 in the definite integral (1)/(\sqrt(x)(2+\sqrt(x))^(2))

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Substitution Method
Definite Integrals

Formulas

Integral of 1/v^2 = -1/v
Substitution x = u^2, dx = 2u du
Limits of integration for substitution

Theorems

Fundamental Theorem of Calculus
Substitution Rule

Suitable Grade Level

Undergraduate Calculus