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Igoryamba
3 years ago
15

Evaluate the indefinite integral. (use c for the constant of integration.) tan6(θ) sec2(θ) dθ illustrate and check that your ans

wer is reasonable by graphing both the function and its antiderivative (take c = 0). webassign plot webassign plot webassign plot webassign plot
Mathematics
1 answer:
atroni [7]3 years ago
4 0
\displaystyle\int\tan^6\theta\sec^2\theta\,\mathrm d\theta

x=\tan\theta\implies\mathrm dx=\sec^2\theta\,\mathrm d\theta

\displaystyle\int x^6\,\mathrm dx=\dfrac{x^7}7+C
\implies\displaystyle\int\tan^6\theta\sec^2\theta\,\mathrm d\theta=\dfrac{\tan^7\theta}7+C
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