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Find the integral $\int\left(3x^2y+2\right)dx$

Step-by-step Solution

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Solution

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Final Answer

$yx^{3}+2x+C_0$
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Step-by-step Solution

Problem to solve:

$\int\left(3x^2y+2\right)dx$

Specify the solving method

1

Expand the integral $\int\left(3x^2y+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int3x^2ydx+\int2dx$

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

$\int3x^2ydx+\int2dx$

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Learn how to solve integral calculus problems step by step online. Find the integral int(3x^2y+2)dx. Expand the integral \int\left(3x^2y+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3x^2ydx results in: yx^{3}. The integral \int2dx results in: 2x. Gather the results of all integrals.

Final Answer

$yx^{3}+2x+C_0$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(3x^2y+2)dx using partial fractionsSolve int(3x^2y+2)dx using basic integralsSolve int(3x^2y+2)dx using u-substitutionSolve int(3x^2y+2)dx using integration by partsSolve int(3x^2y+2)dx using trigonometric substitution

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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
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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Main topic:

Integral Calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.05 s

Related topics:

Integral CalculusCalculus

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