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Write a Value of ∫ Tan 6 X Sec 2 X D X

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प्रश्न

Write a value of

\[\int \tan^6 x \sec^2 x \text{ dx }\] .
योग
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उत्तर

Let I= \[\int\] tan6 x . sec2 x dx

Let tan x = t
sec2 x dx = dt
\[\therefore I =\]\[\int\] t6 . dt

\[= \frac{t^7}{7} + C\]
\[ = \frac{\tan^7 x}{7} + C \left( \because t = \tan x \right)\]

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अध्याय 18: Indefinite Integrals - Very Short Answers [पृष्ठ १९७]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 18 Indefinite Integrals
Very Short Answers | Q 6 | पृष्ठ १९७

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