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# Find the integral $\int\int\left(x^2+y\right)dyda$

## Step-by-step Solution

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### Videos

$\frac{1}{2}x^2y^2+\frac{y^{3}}{6}+C_0$
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## Step-by-step Solution

Problem to solve:

$\int\int\left(x^2+y\right)da$

Specify the solving method

1

Expand the integral $\int\left(x^2+y\right)dy$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int\left(\int x^2dy+\int ydy\right)da$

Learn how to solve integral calculus problems step by step online.

$\int\left(\int x^2dy+\int ydy\right)da$

Learn how to solve integral calculus problems step by step online. Find the integral int(int(x^2+y)dy)da. Expand the integral \int\left(x^2+y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral of a constant is equal to the constant times the integral's variable. 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. Expand the integral \int\left(x^2y+\frac{1}{2}y^2\right)da into 2 integrals using the sum rule for integrals, to then solve each integral separately.

$\frac{1}{2}x^2y^2+\frac{y^{3}}{6}+C_0$
SnapXam A2

### beta Got another answer? Verify it!

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

$\int\int\left(x^2+y\right)da$

### Main topic:

Integral Calculus

~ 0.08 s