Question
The integral of 7+x-2x²÷2-x
Answers
Answered by
GPT 3.5
To find the integral of the expression, we will first simplify it:
7 + x - 2x² ÷ 2 - x = 7 + x - x² - x = 7 - x²
Now, we can integrate this expression. The integral of -x² is -1/3x³, and the integral of 7 is 7x.
Therefore, the integral of 7 + x - 2x² ÷ 2 - x is:
∫ (7 - x²) dx = ∫ 7 dx - ∫ x² dx
= 7x - 1/3x³ + C
where C is the constant of integration.
7 + x - 2x² ÷ 2 - x = 7 + x - x² - x = 7 - x²
Now, we can integrate this expression. The integral of -x² is -1/3x³, and the integral of 7 is 7x.
Therefore, the integral of 7 + x - 2x² ÷ 2 - x is:
∫ (7 - x²) dx = ∫ 7 dx - ∫ x² dx
= 7x - 1/3x³ + C
where C is the constant of integration.
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