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# Solve the trigonometric integral $\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$

## Step-by-step Solution

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ln
log
log
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sin
cos
tan
cot
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asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Videos

$-\ln\left(\cos\left(x\right)\right)+C_0$
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## Step-by-step Solution

Problem to solve:

$\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$

Specify the solving method

1

Simplify $\tan\left(x\right)$ by applying trigonometric identities

$\int\tan\left(x\right)dx$

Learn how to solve trigonometric integrals problems step by step online.

$\int\tan\left(x\right)dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((sin(x)/(cos(x))dx. Simplify \tan\left(x\right) by applying trigonometric identities. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$-\ln\left(\cos\left(x\right)\right)+C_0$

### Explore different ways to solve this problem

Basic IntegralsIntegration by SubstitutionIntegration by PartsWeierstrass Substitution
SnapXam A2

### beta Got another answer? Verify it!

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

$\int\frac{\sin\left(x\right)}{\cos\left(x\right)}dx$

### Main topic:

Trigonometric Integrals

~ 0.03 s