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Evaluate the integral ∫ (x^2 + 2x + 1)/(x + 1) dx.
Evaluate the integral ∫ (x^2 + 2x + 1)/(x + 1) dx.
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Practice Questions
1 question
Q1
Evaluate the integral ∫ (x^2 + 2x + 1)/(x + 1) dx.
(1/3)x^3 + x^2 + C
x^2 + x + C
(1/3)x^3 + (1/2)x^2 + C
x^2 + 2x + C
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By simplifying the integrand, we can integrate to find that ∫ (x^2 + 2x + 1)/(x + 1) dx = (1/3)x^3 + x^2 + C.
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate the integral ∫ (x^2 + 2x + 1)/(x + 1) dx.
Solution:
By simplifying the integrand, we can integrate to find that ∫ (x^2 + 2x + 1)/(x + 1) dx = (1/3)x^3 + x^2 + C.
Steps: 0
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