Try NerdPal! Our new app on iOS and Android

# Integrate the function $+y\sin\left(x\right)$ from 0 to $2\pi$

Go!
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

0

## Step-by-step Solution

Problem to solve:

$\int_{0}^{\left(2\pi +\right)}+y\cdot \sin\left(x\right)dx$

Specify the solving method

1

Simplifying

$\int_{0}^{2\pi }+y\sin\left(x\right)dx$

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

$\int_{0}^{2\pi }+y\sin\left(x\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate the function +ysin(x) from 0 to 2*pi. 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.

0
$\int_{0}^{\left(2\pi +\right)}+y\cdot \sin\left(x\right)dx$

### Main topic:

Definite Integrals

~ 0.03 s