Math Problem Statement

Hitunglah integral tertentu \( \int_{0}^{\infty} \frac{1}{n+7} \, dn \)

Solution

The image contains a question written in Indonesian: "Hitunglah integral tertentu" followed by the definite integral expression:

01n+7dn\int_{0}^{\infty} \frac{1}{n+7} \, dn

Let's solve it.


Step-by-Step Solution:

  1. Given Integral: I=01n+7dnI = \int_{0}^{\infty} \frac{1}{n+7} \, dn

  2. **

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Math Problem Analysis

Mathematical Concepts

Calculus
Definite Integration
Improper Integrals

Formulas

\( \int \frac{1}{x+a} dx = \ln|x+a| + C \)

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12