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# Solve the trigonometric integral $\int\left(\frac{\sin\left(y\right)}{\cos\left(y\right)}\right)^2dy$

## Step-by-step Solution

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asinh
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### Solution

$\tan\left(y\right)-y+C_0$
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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

$\int\tan\left(y\right)^2dy$

Learn how to solve problems step by step online.

$\int\tan\left(y\right)^2dy$

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.

$\tan\left(y\right)-y+C_0$

### Explore different ways to solve this problem

Basic IntegralsIntegration by SubstitutionIntegration by PartsWeierstrass Substitution
SnapXam A2

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch