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Step-by-step Solution

Integral of (e^(1/2))/(x^2)

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x
y
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◻/◻
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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

$-\sqrt[3]{7}x^{-1}+C_0$

Step-by-step explanation

Problem to solve:

$\int\frac{e^{\frac{1}{2}}}{x^2}dx$
1

Calculate the square root of $e$

$\int\frac{\sqrt[3]{7}}{x^2}dx$
2

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

$\int\sqrt[3]{7}x^{-2}dx$

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Answer

$-\sqrt[3]{7}x^{-1}+C_0$
$\int\frac{e^{\frac{1}{2}}}{x^2}dx$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.97 seconds