Evaluate the integral $\int \frac{x^2+1}{x^3+3x+1} dx$.
University of Ilorin MTH102 2025B past question
- $\frac{1}{3}\ln|x^3+3x+1| + C$
- $3\ln|x^3+3x+1| + C$
- $\ln|x^3+3x+1| + C$
- $\frac{1}{2}\ln|x^2+1| + C$
Register free to see the answer and step-by-step explanation
More University of Ilorin MTH102 2025B past questions
Related questions
- Evaluate the definite integral $\int_{0}^{-2} (x^3 + 3x^2 - 1) dx$.
- Evaluate the indefinite integral $\int \sin(-6x) dx$.
- Evaluate the integral $\int \left(x^3 + \frac{1}{\sqrt{4-x^2}}\right) dx$.
- Evaluate the integral $\int (5 - 4x^3) dx$.
- Evaluate the definite integral $\int_{0}^{1} \frac{1}{\sqrt{4-x^2}} dx$.
- Find the derivative of $y = \log_e(1/x)$.
