\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow x\ln x - \int^a_b 1\ dx[br]\[br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow \left[x\ln x - \int 1\ dx \right]_b^a[br][br]\[br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br][br]\[br]\Rightarrow \left[x\ln x - \int^a_b 1\ dx \right]_b^a[br]\[br][br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow x\ln x - \int^a_b 1\ dx[br]\[br]\Rightarrow \left[ x\ln x \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow \left[x\ln x - \int 1\ dx \right]_b^a[br][br]\[br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br][br]\[br]\Rightarrow \left[x\ln x - \int^a_b 1\ dx \right]_b^a[br]\[br][br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow \left[x\ln x]_b^a - \int^a_b 1\ dx \right[br]\Rightarrow \left[ x\ln x \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow x\ln x - \int^a_b 1\ dx[br]\[br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow \left[x\ln x - \int 1\ dx \right]_b^a[br][br]\[br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br][br]\[br]\Rightarrow \left[x\ln x - \int^a_b 1\ dx \right]_b^a[br]\[br][br]\Rightarrow \left[ x\ln \ - x \right]_b^a
\displaystyle \int^a_b (1)\times \ln x\ dx[br]\[br]\Rightarrow \left[x\ln x]_b^a - \int^a_b 1\ dx \right[br]\Rightarrow \left[ x\ln x \ - x \right]_b^a