Exercise
$\int\frac{3x^2-2x+1}{x}+\frac{2x}{1+x^2}-e^{\ln\left(2\right)}dx$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the integral of logarithmic functions int((3x^2-2x+1)/x+(2x)/(1+x^2)-e^ln(2))dx. Simplify the expression. The integral \int\frac{3x^2-2x+1}{x}dx results in: \frac{3}{2}x^2-2x+\ln\left(x\right). Gather the results of all integrals. The integral 2\int\frac{x}{1+x^2}dx results in: \ln\left(1+x^2\right).
Solve the integral of logarithmic functions int((3x^2-2x+1)/x+(2x)/(1+x^2)-e^ln(2))dx
Final answer to the exercise
$\ln\left|x\right|-4x+\frac{3}{2}x^2+\ln\left|1+x^2\right|+C_0$