Math Problem Statement
A integral definida de uma função f (x), num intervalo [a, b] é igual à área entre a curva de f(x) e o eixo dos x, que é o mesmo resultado obtido por integração. Calcule as seguintes integrais definidas:
Solution
To solve the given definite integral
we will integrate each term separately.
First, rewrite the integral in a simpler form by expressing each term with exponents:
Now integrate each term individually:
- : [ \int 3t^{-\frac{1}{2}} , dt = 3 \int t^{-\frac{1}{2}} , dt = 3 \cdot 2t^{\frac{1}{2
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Math Problem Analysis
Mathematical Concepts
Definite Integral
Area under Curve
Integration
Formulas
Fundamental Theorem of Calculus
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Undergraduate