2 Integrals

Chapter 2
Integrals

2.1

\int \arcsin (x) \ln (x) d x

2.2

\int \frac{x \arcsin (x)}{\sqrt{1 - x^{2}}} d x

2.3

\int - \sin^{- 1} (\sqrt{x} - \sqrt{x + 1}) d x

2.4

\int \log (\sqrt{x^{2} + 1} x + 1) d x

2.5

\int \frac{\cos^{2} (x)}{\sqrt{\cos^{4} (x) + \cos^{2} (x) + 1}} d x

2.6

\int \tan (x) \sqrt{\tan^{4} (x) + 1} d x

2.7

\int \frac{\tan (x)}{\sqrt{\sec^{3} (x) + 1}} d x

2.8

\int \sqrt{\tan^{2} (x) + 2 \tan (x) + 2} d x

2.9

\int \sin (x) \tan^{- 1} (\sqrt{\sec (x) - 1}) d x

2.10

\int \frac{x^{3} e^{\sin^{- 1} (x)}}{\sqrt{1 - x^{2}}} d x