Mathematics

Integrate $$\displaystyle \int { \dfrac { { \sec }^{ 2 }x }{ \tan x }  } dx$$


SOLUTION
$$\int { \dfrac { { \sec }^{ 2 }x }{ tanx }  } dx$$
Let $$tanx=t$$
$$\dfrac { dt }{ dx } ={ \sec }^{ 2 }x$$
$$dt={ \sec }^{ 2 }xdx$$
$$\int { \dfrac { dt }{ t }  } =lnt+C$$
$$=ln\left| tanx \right| +C$$
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Subjective Medium Published on 17th 09, 2020
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