# find antiderivative u/(16+u^2)?

ln(16+u^2) ?

### 3 Answers

Relevance

- Ed ILv 79 years agoBest Answer
∫ u du/(16 + u^2)

Let w = 16 + u^2

then dw = 2u du

so (1/2) dw = u du

We now have (1/2) ∫ dw/w = (1/2) ln w = (1/2) ln (16 + u^2) + C

Still have questions? Get your answers by asking now.