https://file.aiquickdraw.com/mathbot/file/1727236363817olbq05ek.jpg

Sure, I'll help with solving the integrals from the image. Let's start with the problems listed:

### 1. Hitunglah setiap integral tentu berikut:
   - \( a. \int_0^3 (3x+1) \, dx \)
   - \( b. \int_2^4 x^2 \, dx \)
   - \( c. \int_1^3 \frac{1}{x} \, dx \)
   - \( d. \int_0^3 \frac{1}{(x - 2)^2} \, dx \)
   - \( e. \int_2^4 (4x^3 + 7) \, dx \)

### 2. Hitunglah nilai integral berikut ini:
   - \( a. \int_0^2 (x^3 + 1) \, dx \)
   - \( b. \int_1^2 \frac{1}{x^2} \, dx \)
   - \( c. \int_1^4 (3x - 2) \, dx \)
   - \( d. \int_0^1 (2x^2 - 4x + 5) \, dx \)
   - \( e. \int_0^1 \frac{1}{x^2 - 1} \, dx \)

### 3. Hitunglah setiap integral tentu berikut:
   - \( a. \int_0^3 (x^2 + x^3) \, dx \)
   - \( b. \int_0^1 (3 - 2x + x^2) \, dx \)
   - \( c. \int_0^3 (3x^2) \, dx \)
   - \( d. \int_1^3 \frac{1}{x + 2} \, dx \)
   - \( e. \int_2^4 (x + 5)(2x - 1) \, dx \)

Would you like me to solve a specific one of these first or go step by step through all of them?

This page provides step-by-step solutions for definite integrals involving polynomials and rational functions, covering key concepts in integral calculus, including the power rule and logarithmic integration. Suitable for advanced high school or undergraduate students.

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