Yuànyì vs Xiǎng

In lesson 2.1, both the words yuànyì and xiǎng seem to mean 'want'. Is there any distinction between these words or are these words interchangeable? Is it appropriate to say both of the phrases below, or is yuànyì not used when followed by a verb? Wǒ xiǎng qù Běijīng kànyīkàn。 Wǒ yuànyì qù Běijīng kànyīkàn。 Thanks in advance.

yuanyi is willing xiang is would like/want yuanyi maybe more of a "i am willing to go, but personally i might not want to" xiang is i i am willing to go and i want to / i want to go.

谢谢！

i think they are the same