👉 Try now NerdPal! Our new math app on iOS and Android

Integrate the function $e^{\left(\sqrt{2x}\right)}$ from 0 to $2$

Step-by-step Solution

Go!
Math mode
Text mode
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

Final Answer

0

Step-by-step Solution

Specify the solving method

1

Apply the formula: $\int e^{\left(a^b\right)}dx$$=\frac{Ei\left(a^b\right)}{\log \left(a\right)}+C$, where $a=2x$ and $b=\frac{1}{2}$

$\left[\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}\right]_{0}^{2}$

Learn how to solve problems step by step online.

$\left[\frac{Ei\left(\sqrt{2x}\right)}{\log \left(2x\right)}\right]_{0}^{2}$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve problems step by step online. Integrate the function e^(2x)^1/2 from 0 to 2. Apply the formula: \int e^{\left(a^b\right)}dx=\frac{Ei\left(a^b\right)}{\log \left(a\right)}+C, where a=2x and b=\frac{1}{2}. Replace the integral's limit by a finite value. Evaluate the definite integral. Simplify the expression inside the integral.

Final Answer

0

Give us your feedback!

Function Plot

Plotting: $e^{\left(\sqrt{2x}\right)}$

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account