Intrigate √tanx
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Posted by Akshat Mehta 6 years, 10 months ago
- 2 answers
Sahdev Sharma 6 years, 10 months ago
{tex}\int tan x. dx{/tex}
= {tex}\int{ sin x\over cos x} dx{/tex}
Put cos x = t
Then
sin x dx = -dt
= {tex}-\int{1\over t} dt{/tex}
= - log t + c
= - log (cos x)+ c
= {tex}log |sec\ x| + c{/tex}
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Payal Singh 6 years, 10 months ago
{tex}\int tan x. dx{/tex}
= {tex}\int{ sin x\over cos x} dx{/tex}
{tex}take \ cos\ x = t{/tex}
{tex}so\ sin \ x\ dx = -dt {/tex}
= {tex}\int-{1\over t} dt{/tex}
{tex}= - log\ t + c {/tex}
{tex}= - log (cos \ x)+ c {/tex}
= {tex}log |sec\ x| + c{/tex}
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