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Question
` ∫ sec^6 x tan x dx `
Sum
Solution
` ∫ sec^6 x tan x dx `
=∫ sec6 x.sec x tan x dx
Let sec x = t
Let sec x = t
⇒ sec x tan x dx = dt
Now, ∫ sec6 x.sec x tan x dx
= ∫ t6. dt
Now, ∫ sec6 x.sec x tan x dx
= ∫ t6. dt
\[= \frac{t^6}{6} + C\]
\[ = \frac{\sec^6 x}{6} + C\]
\[ = \frac{\sec^6 x}{6} + C\]
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