Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP

Taylor series Calculator

Get detailed step by step solutions to your math problems with our online calculator. Sharpen your math skills and learn step by step with our math solver. Check out more calculators here.

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

1

Example

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

Solve the integral $\int e^{2x}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=2x \\ du=\frac{d}{dx}\left(u\right)dx\end{matrix}$
3

Isolate $dx$ in the previous equation

$\frac{du}{\frac{d}{dx}\left(u\right)}=dx$
4

Substituting $u$ and $dx$ in the integral

$\int\frac{e^u}{\frac{d}{dx}\left(u\right)}du$
5

The derivative of the linear function is equal to $1$

$\int e^udu$
6

The integral of the exponential function is given by the following formula $\displaystyle \int a^xdx=\frac{a^x}{\ln(a)}$, where $a > 0$ and $a \neq 1$

$e^u$
7

Substitute $u$ back for it's value, $2x$

$e^{2x}$
8

Add the constant of integration

$e^{2x}+C_0$