Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integrate (x^3)/(x^3)+x^0.5-2/(x^2^0.5)

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

$x+\frac{2}{3}\sqrt{x^{3}}-2\ln\left|x\right|+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(\frac{x^3}{x^3}+\sqrt{x}-\frac{2}{\sqrt{x^2}}\right)dx$
1

Applying the power of a power property

$\int\left(\frac{x^3}{x^3}+\sqrt{x}-\left(\frac{2}{x}\right)\right)dx$
2

Simplifying the fraction by $x^3$

$\int\left(1+\sqrt{x}-\left(\frac{2}{x}\right)\right)dx$

Unlock this step-by-step solution!

Answer

$x+\frac{2}{3}\sqrt{x^{3}}-2\ln\left|x\right|+C_0$
$\int\left(\frac{x^3}{x^3}+\sqrt{x}-\frac{2}{\sqrt{x^2}}\right)dx$

Main topic:

Integral calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.83 seconds