Evaluate the following integrals. \tan^{7}x \sec^{4}xdx

Chesley 2021-10-15 Answered
Evaluate the following integrals.
tan7xsec4xdx
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Expert Answer

dieseisB
Answered 2021-10-16 Author has 85 answers

Step 1
To Determine:
Evaluate the following integrals.
Given: we have
tan7xsec4xdx
Explanation: we have
tan7xsec4xdx
we can write
tan7xsec2xsec2xdx
(1tan2x)sec2xtan7xdx
substituting u=tanxdu=sec2xdx then we have
u7(1+u2)du=(u7+u9)du
Step 2
(u7+u9)du=u88+u1010+c
tan8x8+tan10x10+c

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