Need help in finding the integral values:
- $\int\limits (2x^4 + x^3/3 + \sqrt{x})\mathrm{d}x$
- $\int\limits_{\pi/2}^{3\pi/2} \cos(x)\mathrm{d}x$
- $\frac{\mathrm{d}}{\mathrm{d}x}\int\limits_{1}^{\tan(x)} e^t\mathrm{d}t$ with the usage of the Fundamental Theorem of Calculus.