Integrals containing trigonometric functions.

$$\int \tan u \; du = \ln \vert \sec u \vert + C.$$ (B..34)

$$\int\cot u du = \ln \vert \sin u \vert + C.$$ (B..35)

$$\int \sec u \; du = \ln \vert \sec u + \tan u \vert + C.$$ (B..36)

$$\int \csc u \; du = \ln \vert \csc u - \cot u \vert + C.$$ (B..37)

$$\int \sec^2 u \; du = \tan u + C.$$ (B..38)

$$\int \csc^2 u \; du = - \cot u + C.$$ (B..39)

$$\int \sin^n u \; du = -\frac 1n \sin^{n-1} u \; \cos u + \frac{n - 1}{n} \int \sin^{n - 2} u \; du$$ (B..40)

$$\int \cos^n u \; du = \frac 1n \cos^{n - 1} u \; \sin u + \frac{n - 1}{n} \int \cos^{n - 2} u \; du$$ (B..41)

$$\int \tan^n u \; du = \frac{1}{n - 1} \tan^{n - 1} u - \int \tan^{n - 2} u \; du$$ (B..42)

$$\int \cot^n u \; du = - \frac {1}{n - 1} \cot^{n - 1} u - \int \cot^{n - 2} u \; du$$ (B..43)

$$\int \sec^n u \; du = \frac{1}{n - 1} sec^{n - 2} u \tan u + \frac{n - 2}{n - 1} \int \sec^{n - 2} u \; du$$ (B..44)

$$\int \csc^n u \; du = -\frac{1}{n - 1} \csc^{n - 2} u \cot u + \frac{n - 2}{n - 1} \int \csc^{n - 2} u \; du.$$ (B..45)