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# Find the integral $\int\left(e^x-x^2\right)dx$

## Step-by-step Solution

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###  Videos

$e^x+\frac{-x^{3}}{3}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\left(e^x-x^2\right)dx$

Specify the solving method

1

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

$\int e^xdx+\int-x^2dx$

Learn how to solve integrals of exponential functions problems step by step online.

$\int e^xdx+\int-x^2dx$

Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(e^x-x^2)dx. Expand the integral \int\left(e^x-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int e^xdx results in: e^x. The integral \int-x^2dx results in: \frac{-x^{3}}{3}. Gather the results of all integrals.

$e^x+\frac{-x^{3}}{3}+C_0$

##  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(e^x-x^2)dx using partial fractionsSolve int(e^x-x^2)dx using basic integralsSolve int(e^x-x^2)dx using u-substitutionSolve int(e^x-x^2)dx using integration by partsSolve int(e^x-x^2)dx using tabular integrationSolve int(e^x-x^2)dx using trigonometric substitution

SnapXam A2

Go!
1
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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:

Integrals of Exponential Functions

~ 0.05 s

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