Math Problem Statement

solve #6, 8, 11, 15, 20, 26, 40, 47, 50

Solve #6, 8, 11, 15, 20, 26, 40, 47, 50 from the given list of integration problems.

Solution

PIL import Image

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img_path = "/mnt/data/1732684408432v07nhtp5.jpg" img = Image.open(img_path)

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img.show()It seems that I cannot directly read the image content. However, if you could transcribe the math problems or describe them to me, I'd be happy to help you solve them! Alternatively, you can upload a clearer image or a different file format if needed.

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Math Problem Analysis

Mathematical Concepts

Integration
Definite Integrals
Indefinite Integrals
Power Rule
Trigonometric Integrals

Formulas

∫x^n dx = (x^(n+1))/(n+1) + C for n ≠ -1
∫1/x dx = ln|x| + C
∫sin(x) dx = -cos(x) + C
∫cos(x) dx = sin(x) + C

Theorems

Fundamental Theorem of Calculus
Power Rule for Integration

Suitable Grade Level

Grades 11-12 or Introductory Calculus Courses