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Question Number 76615 by mhmd last updated on 28/Dec/19

$$\int {sec}^{3}xdx$$

Answered by $@ty@m123 last updated on 28/Dec/19

$$\int \sqrt{1+\tan {}^{2}x}.\sec {}^{2}xdx$$$$\int \sqrt{1+t^2}dt$$$$\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}\ln (t+\sqrt{1+t^2)}+\mathrm{C}$$$$wheret=\tan x$$

Answered by john santu last updated on 29/Dec/19

Commented by mhmd last updated on 29/Dec/19

$$thankyousir$$

Commented by john santu last updated on 29/Dec/19

$$yourwelcomesir$$

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