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

Step-by-step Solution

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Final Answer

$\frac{14}{3}$
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Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Combining like terms $\left(x+1\right)^2$ and $\left(x+1\right)^2$

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

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

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

Unlock the first 2 steps of this solution!

Learn how to solve definite integrals problems step by step online. Integrate the function (x+1)^2+(x+1)^2 from 0 to 1. Combining like terms \left(x+1\right)^2 and \left(x+1\right)^2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the formula: \int\left(x+a\right)^ndx=\frac{\left(x+a\right)^{\left(n+1\right)}}{n+1}+C, where a=1 and n=2. Evaluate the definite integral.

Final Answer

$\frac{14}{3}$
SnapXam A2
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Got another answer? Verify it!

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1
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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

Useful tips on how to improve your answer:

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

Main topic:

Definite Integrals

Used formulas:

2. See formulas

Time to solve it:

~ 0.04 s