∫sec2x-7sin7xdx=
tanxsin7x+c
cosxsin7x+c
sinxcos7x+c
sinxtan7x+c
Explanation for the correct option:
Evaluate ∫sec2x-7sin7xdx
Consider the given equation as
I=∫sec2x-7sin7xdxI=∫cosec7x.sec2xdx-∫7cosec7xdx
According to the integration by parts
I=cosec7x.tanx-∫7cosec6x-cosecx.cotxtanxdx-7∫cosec7xdx+cI=cosec7x.tanx+∫7cosec7xdx-7∫cosec7xdx+cI=cosec7x.tanx+cI=tanxsin7x+c
Hence, the correct answer is option A.
Fill in the blanks with >,< or =
-4+-7____-4--7