Differentiation and Integration

Calculus Level 3

For a function \(f(x)=ax \ln x + b\), we know that \(f'(e)=4\) and \(\displaystyle \int_{1}^{e} f(x)\ dx = \frac{1}{2}e(e+1)\). What is the value of \( a + b \)?

×

Problem Loading...

Note Loading...

Set Loading...