Complex numbers | Exercises

22 Oct 2019 Leave a Comment

Here I talked about complex numbers and introduced the Re and Im functions. In this post you can find exercises you can practice with to apply what you’ve learnt.

$5i+9-4i$ $\text{Re}\left \{ 5i^2 \right \}$ $\text{Im}\left \{ -5i^2 \right \}$ $\text{Re}\left \{ 4i^2 +i\right \}$ $\text{Im}\left \{ 4i^2 +i\right \}$ $\text{Im}\left \{ 7+2i\right \}$ $\text{Im}\left \{ i\, \text{Re}\left \{ 7+2i \right \}\right \}$ $\text{Re}\left \{ \varphi+\text{Im}\left \{ 7i\, \text{Im}\left \{ \pi i\, \text{Re}\left \{ 12-\text{Im}\left \{ 3+4i \right \} \right \} \right \} \right \} \right \}$ $\text{Im}\left \{ \sqrt{\text{Re}\left \{ 24i^2+8i \right \}} \right \}$ $\text{Re}\left \{ i\int \sqrt{-x} \, dx\right \}$ $\text{Im}\left \{ \int \left (\frac{\sqrt{-x^2} }{i}+\frac{x}{i} \right )\, dx\right \}$ $\text{Re}\left \{ {\sqrt{\text{Re}\left \{ \cos(\pi)+i\frac{\varphi\pi}{2}\sin(\ln(7)) \right \}}} \right \}$ $\text{Im}\left \{ \sqrt{-\varphi i^2\int i\sqrt{-8}\, d\theta} \right \}$

You may find these links useful:

https://atomic-temporary-167386734.wpcomstaging.com/what-are-imaginary-numbers/

https://addjustabitofpi.wordpress.com/whats-integration/

https://addjustabitofpi.wordpress.com/rules-and-properties-of-integrals/