# Math virtual assistant

Calculators Topics Go Premium About Snapxam

# Step-by-step Solution

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2

e
π
ln
log
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Answer

$\sin\left(x\right)+\left(-1-x\right)\cos\left(x\right)+C_0$

## Step-by-step explanation

Problem to solve:

$\int\left(x+1\right)\sin\left(x\right)dx$
1

Multiplying polynomials $\sin\left(x\right)$ and $x+1$

$\int\left(x\sin\left(x\right)+\sin\left(x\right)\right)dx$
2

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int x\sin\left(x\right)dx+\int\sin\left(x\right)dx$

## Answer

$\sin\left(x\right)+\left(-1-x\right)\cos\left(x\right)+C_0$
$\int\left(x+1\right)\sin\left(x\right)dx$

### Main topic:

Integration by parts

~ 0.87 seconds

### Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!