Integrate x^2 + 3x - 2

Published on October 13, 2024

Calculus

Find the integral of x² + 3x - 2. Solution: (x³)/3 + (3x²)/2 - 2x + C

Question

Answer

To solve the integral

, we can use the power rule of integration. The power rule states:

where

is any real number except for

and

is the constant of integration.

Applying this rule to each term in our integral:

Term 1:
Term 2:
Term 3:

Finally, we combine the results and add the constant of integration,

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