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

## Step-by-step Solution

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Solving: $\int_{0}^{2}\left(-\cos\left(x\right)+1\right)dx$

###  Videos

$1.090703$
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##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

1

Expand the integral $\int_{0}^{2}\left(-\cos\left(x\right)+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

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

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

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

Learn how to solve definite integrals problems step by step online. Integrate the function -cos(x)+1 from 0 to 2. Expand the integral \int_{0}^{2}\left(-\cos\left(x\right)+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}-\cos\left(x\right)dx results in: -0.909297. The integral \int_{0}^{2}1dx results in: 2. Gather the results of all integrals.

$1.090703$

##  Explore different ways to solve this problem

SnapXam A2

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a
b
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m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
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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

### Main topic:

Definite Integrals

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