- #1
aFk-Al
- 19
- 0
I know that
[tex]\int \tan^{2}x dx= \int \sec^{2}x-1\ dx = \tan x - x + C[/tex]
but i don't completely understand how this is derived. Because of this lack of comprehension, I have no idea what to do with [tex]\int \sec^{4}5x\ dx[/tex]. I went from there to get:
[tex]\int \sec^{4}5x\ dx=[/tex]
[tex]\int [\sec^{2}5x]^{2}\ dx=[/tex]
[tex]\int \tan^{2}5x\ dx = [/tex]
but I have no idea where to go from here. Any help would be appreciated. Thanks in advance.
[tex]\int \tan^{2}x dx= \int \sec^{2}x-1\ dx = \tan x - x + C[/tex]
but i don't completely understand how this is derived. Because of this lack of comprehension, I have no idea what to do with [tex]\int \sec^{4}5x\ dx[/tex]. I went from there to get:
[tex]\int \sec^{4}5x\ dx=[/tex]
[tex]\int [\sec^{2}5x]^{2}\ dx=[/tex]
[tex]\int \tan^{2}5x\ dx = [/tex]
but I have no idea where to go from here. Any help would be appreciated. Thanks in advance.
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