Try now NerdPal! Our new app on iOS and Android

# Integrate the function $s\left(x-1\right)$ from 0 to $2$

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

0

##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

1

The integral of a constant times a function is equal to the constant multiplied by the integral of the function

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

Learn how to solve definite integrals problems step by step online.

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

Learn how to solve definite integrals problems step by step online. Integrate the function s(x-1) from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Expand the integral \int_{0}^{2}\left(x-1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product s\left(\int_{0}^{2} xdx+\int_{0}^{2}-1dx\right). The integral s\int_{0}^{2} xdx results in: 2s.

0

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(s(x-1))dx&0&2 using partial fractionsSolve int(s(x-1))dx&0&2 using basic integralsSolve int(s(x-1))dx&0&2 using u-substitutionSolve int(s(x-1))dx&0&2 using integration by partsSolve int(s(x-1))dx&0&2 using trigonometric substitution

### Main topic:

Definite Integrals

~ 0.05 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account