Integrate the function $\arctan\left(\frac{\sin\left(\frac{3}{25}\right)+\frac{1}{5}\sin\left(\frac{16}{25}\right)}{\cos\left(\frac{3}{25}\right)-\frac{1}{5}\cos\left(\frac{16}{25}\right)}\right)$

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Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Tutorial - Condensing logarithmic expressions ex 12, 1/3(2ln(x+3)+lnx-ln(x^2-1))

https://www.youtube.com/watch?v=l8AE8UzknbY

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

https://www.youtube.com/watch?v=OjNDpBeMpxI

Algebra 2 - Simplifying an expression with rational and negative exponents (x^(1/6) y^(1/3))^-18

https://www.youtube.com/watch?v=42cGdWlTRvc

Algebra 2 - Multiplying three exponents with rational powers 5^(1/3) . 5^(1/3) . 5^(1/3)

https://www.youtube.com/watch?v=KDnBVNBM9xc

Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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