Solving: $\int a\ln\left(a+1\right)da$
Exercise
$\int a\ln\left(a+1\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(aln(a+1))da. We can solve the integral \int a\ln\left(a+1\right)da by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Solve the integral of logarithmic functions int(aln(a+1))da
Final answer to the exercise
$\frac{1}{2}a^2\ln\left|a+1\right|-\frac{1}{2}\ln\left|2a+2\right|+\frac{1}{2}a-\frac{1}{4}a^2+C_0$