Final Answer
$\tan\left(y\right)-y+C_0$
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Step-by-step Solution
Problem to solve:
$\int\frac{\sin\left(y\right)}{\cos\left(y\right)}^2dy$
Specify the solving method
1
Simplify $\tan\left(y\right)^2$ by applying trigonometric identities
$\int\tan\left(y\right)^2dy$
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$\int\tan\left(y\right)^2dy$
Learn how to solve problems step by step online. Solve the trigonometric integral int(((sin(y)/(cos(y))^2)dy. Simplify \tan\left(y\right)^2 by applying trigonometric identities. The integral \int\sec\left(y\right)^2dy results in: \tan\left(y\right). The integral \int-1dy results in: -y. Gather the results of all integrals.
Final Answer
$\tan\left(y\right)-y+C_0$