Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
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

\int_{0}^{2}\sin\left(2x\right)dx

Integrate sin(2x) from 0 to 2

Answer

$\frac{7}{\sqrt[3]{2}}$

Step-by-step explanation

Problem

$\int_{0}^{2}\sin\left(2x\right)dx$
1

Apply the formula: $\int\sin\left(x\cdot a\right)dx$$=-\frac{1}{a}\cos\left(x\cdot a\right)$, where $a=2$

$\left[-\frac{1}{2}\cos\left(2x\right)\right]_{0}^{2}$

Unlock this step-by-step solution!

Answer

$\frac{7}{\sqrt[3]{2}}$
$\int_{0}^{2}\sin\left(2x\right)dx$

Main topic:

Integration by substitution

Used formulas:

2. See formulas

Time to solve it:

~ 0.71 seconds