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# Integrate the function $xy^2$ from $1$ to $2$

## Step-by-step Solution

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asinh
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###  Videos

$\frac{3}{2}y^2$
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##  Step-by-step Solution 

Problem to solve:

$\int_{1}^{2} xy^2dx$

Specify the solving method

1

The integral of a constant times a function is equal to the constant multiplied by the integral of the function

$y^2\int_{1}^{2} xdx$

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

$y^2\int_{1}^{2} xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function xy^2 from 1 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression inside the integral.

$\frac{3}{2}y^2$

##  Explore different ways to solve this problem

SnapXam A2

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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

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