💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here! # Evaluate the definite integral.$\displaystyle \int^{\pi/6}_0 \frac{\sin t}{\cos^ 2 t} \, dt$

## $\frac{2}{\sqrt{3}}-1$

Integrals

Integration

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##### Top Calculus 1 / AB Educators  ##### Catherine R.

Missouri State University  Lectures

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### Video Transcript

for this question. We know that we can substitute coastline Tease you. Therefore, we end up with negative sign T g t is Do you therefore negative D'You is signed T d t. And the upper limits of integration is coast on power six, which using your unit circle a squirt of three over two. And then we have Cosenza on the bottom, which is simply one. Take the integral using the power rule which means increased the expert by one divide by the new exponents which gives us one over. You pull again using the fundamental form of calculus. Subtract and we end up with two over squared of three minus one. #### Topics

Integrals

Integration

##### Top Calculus 1 / AB Educators  ##### Catherine R.

Missouri State University  Lectures

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