Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integrate x+e^x from 2 to 4

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
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

Answer

$53.2091$

Step-by-step explanation

Problem to solve:

$\int_{2}^{4}\left(x+e^x\right)dx$
1

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

$\int_{2}^{4} xdx+\int_{2}^{4} e^xdx$
2

Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{1}{2}x^2\right]_{2}^{4}+\int_{2}^{4} e^xdx$

Unlock this step-by-step solution!

Answer

$53.2091$
$\int_{2}^{4}\left(x+e^x\right)dx$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.84 seconds

Struggling with math?

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