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Find the integral $\pi +\int_{-1\cdot 1}^{2}\left(\left(x+4\right)^2-\left(x^2+2\right)^2\right)$

Step-by-step Solution

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Final Answer

$35.541593$
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Step-by-step Solution

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Expand the integral $\int_{-1}^{2}\left(\left(x+4\right)^2-\left(x^2+2\right)^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\pi +\int_{-1}^{2}\left(x+4\right)^2dx+\int_{-1}^{2}-\left(x^2+2\right)^2dx$

Learn how to solve integral calculus problems step by step online.

$\pi +\int_{-1}^{2}\left(x+4\right)^2dx+\int_{-1}^{2}-\left(x^2+2\right)^2dx$

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Learn how to solve integral calculus problems step by step online. Find the integral pi+int((x+4)^2-(x^2+2)^2)dx&-1&2. Expand the integral \int_{-1}^{2}\left(\left(x+4\right)^2-\left(x^2+2\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{2}\left(x+4\right)^2dx+\int_{-1}^{2}-\left(x^2+2\right)^2dx results in: \frac{162}{5}. Gather the results of all integrals. Add the values \pi and \frac{162}{5}.

Final Answer

$35.541593$

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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

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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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