A lot of students confuse the differentiation of trig functions with the integration of trig functions
The most effective way is to study them together
Remember that:
We
can differentiate tan x but we
cannot integrate tan x
Example 1
![This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tVYmWfWV_yARV4453JJziQD3kCUBqWjpC-ICk0WUgKx5ugD99AzeqwqAfaxOmc5kz7O1I-veTTptPwPbJoY32jUAOt9jft8-S6VUonTPR2pkyInNp15hzl7dXj21BLAuD5H0Pkpg2Wx88=s0-d)
Find
Example 2
Note that
Example 3
![This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vS6ikQzjuDNIlQ-JzaZ7ULbm4D74V1DyqaJn0kSak4O7hVU1rbPGyfMqjY2pEu8ZTBURJRDEL3aYb3UmaBn7KmcbIiqBWj-v1yMQX7IpxfAmFfxLEGxtrrmPmzFNqLBneOUz9uI256kycG=s0-d)
Find
Example 4
Note that
You can integrate tanx however. You allow tanx to equal sinx/cosx, and that will integrate to -1ln|cosx| which equals ln|secx|+c.
ReplyDeleteThank you - it helped a lot!
ReplyDeleteEach of the trigonometric capacities has a valuable reverse. In this way, for occasion, the reverse of the sine capacity is known as the arcsine, the opposite of the cosine is known as the arccosine, and the converse of the digression is known as the arctangent. http://www.mordocrosswords.com/2016/02/trigonometric-function_23.html
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