# Integrate yx*965+2 from a to b

## \int_{a}^{b}\left(965y\cdot x+2\right)dx

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

$\int_{a}^{b}965x\cdot ydx$

## Step by step solution

Problem

$\int_{a}^{b}\left(965y\cdot x+2\right)dx$
1

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

$\int_{a}^{b}2dx+\int_{a}^{b}965x\cdot ydx$
2

The integral of a constant is equal to the constant times the integral's variable

$\left[2x\right]_{a}^{b}+\int_{a}^{b}965x\cdot ydx$
3

Evaluate the definite integral

$\int_{a}^{b}965x\cdot ydx-1\cdot 2x+2x$
4

Multiply $2$ times $-1$

$\int_{a}^{b}965x\cdot ydx-2x+2x$
5

Adding $2x$ and $-2x$

$\int_{a}^{b}965x\cdot ydx+0x$
6

Any expression multiplied by $0$ is equal to $0$

$\int_{a}^{b}965x\cdot ydx+0$
7

$x+0=x$, where $x$ is any expression

$\int_{a}^{b}965x\cdot ydx$

$\int_{a}^{b}965x\cdot ydx$

### Struggling with math?

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

### Main topic:

Integral calculus

0.26 seconds

77