Question

Please solve this question based on integeration chapter

Answer 1

Answer: -ln |cos x| - ln |sin x| + C

Explanation:

`.\quad \int(sin^2x-cos^2x)/(sin\ x\ cos\ x)dx\\\\\\=\int (sin^2x)/(sin\ x\ cos\ x)dx-\int (cos^2x)/(sin\ x\ cos\ x)dx\\\\\\=\int (sin\ x)/(cos\ x)dx-\int (cos\ x)/(sin\ x)dx\\\\\\=\int tan\ x\ dx - \int cot\ x\ dx\\\\=-ln |cos\ x|-ln|sin\ x| + C`