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Solve the trigonometric integral $\int\cos\left(x\right)\sin\left(x\right)dx$

Step-by-step Solution

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e
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ln
log
log
lim
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θ
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<
>=
<=
sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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$-\frac{1}{4}\cos\left(2x\right)+C_0$
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Step-by-step Solution

Problem to solve:

$\int\cos\left(x\right)\cdot\sin\left(x\right)dx$

Specify the solving method

1

Simplify $\frac{1}{2}\sin\left(2x\right)$ by applying trigonometric identities

$\int\frac{1}{2}\sin\left(2x\right)dx$
2

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$-\frac{1}{4}\cos\left(2x\right)+C_0$

$-\frac{1}{4}\cos\left(2x\right)+C_0$
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