1. Demonstrate how to evaluate the following integrals. \[ \int \cos^3(\theta) \,\mathrm{d}\theta \qquad \int \sin^5(\theta)\cos^2(\theta) \,\mathrm{d}\theta \qquad \int \sin^4(\theta) \,\mathrm{d}\theta \] \[ \int \tan^3(\theta) \,\mathrm{d}\theta \qquad \int \tan^6(\theta)\sec^4(\theta) \,\mathrm{d}\theta \qquad \int \sec^3(\theta) \,\mathrm{d}\theta \] \[ \int \sin(4x)\cos(5x) \,\mathrm{d}x \]