Math Problem Statement
Integrate (2x - 1) dx
Solution
The integral in the image is:
To solve it, we can integrate each term separately:
- For the term : The integral of with respect to is .
- For the term : The integral of with respect to is .
Thus, combining these results:
where is the constant of integration.
Final Answer:
Would you like more details on the integration process, or have any questions?
Here are 5 related questions:
- How would you integrate ?
- What is the integral of ?
- How do you handle integrals involving exponential functions, like ?
- What is the integral of ?
- How would you compute a definite integral for ?
Tip: When integrating, separate terms if possible to make integration easier term by term.
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Math Problem Analysis
Mathematical Concepts
Integration
Calculus
Polynomial Functions
Formulas
∫ (ax + b) dx = (a/2)x^2 + bx + C
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 10-12