Try now NerdPal! Our new app on iOS and Android

# Integrate the function $\sin\left(x\right)$ from $\frac{1}{2}$ to $2$

## Step-by-step Solution

Go!
Math mode
Text mode
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

###  Videos

$1.29373$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

1

Apply the integral of the sine function: $\int\sin(x)dx=-\cos(x)$

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

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

$\left[-\cos\left(x\right)\right]_{\frac{1}{2}}^{2}$

Learn how to solve definite integrals problems step by step online. Integrate the function sin(x) from 1/2 to 2. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral. Simplify the expression inside the integral.

$1.29373$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(sin(x))dx&1/2&2 using basic integralsSolve int(sin(x))dx&1/2&2 using u-substitutionSolve int(sin(x))dx&1/2&2 using integration by partsSolve int(sin(x))dx&1/2&2 using tabular integrationSolve int(sin(x))dx&1/2&2 using weierstrass 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

### Main topic:

Definite Integrals

~ 0.02 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account