ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Integrate the function $-\sin\left(x\right)$ from 0 to $\frac{\pi }{3}$

## 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

$-\frac{1}{2}$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify the solving method

1

Simplifying

$\int_{0}^{\frac{\pi}{3}}-\sin\left(x\right)dx$

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

$\int_{0}^{\frac{\pi}{3}}-\sin\left(x\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate the function -sin(x) from 0 to pi/3. Simplifying. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral.

$-\frac{1}{2}$

$-0.5$

##  Explore different ways to solve this problem

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

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b