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Find the integral $1\cdot -3\int\left(x^4-13x^2+36x^4-13\left(x^2\right)^{36}\right)dxx^2$

Step-by-step Solution

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Final Answer

$\left(-\frac{111}{5}x^{5}+13x^{3}+\frac{39}{73}x^{73}\right)x^2+C_0$
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Step-by-step Solution

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Simplifying

$-3\int\left(x^4-13x^2+36x^4-13\left(x^2\right)^{36}\right)dx\cdot x^2$

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$-3\int\left(x^4-13x^2+36x^4-13\left(x^2\right)^{36}\right)dx\cdot x^2$

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Learn how to solve integral calculus problems step by step online. Find the integral int(x^4-13x^236x^4-13x^2^36)dx1*-3x^2. Simplifying. Simplify the expression inside the integral. Solve the product -3\left(\int37x^4dx+\int-13x^2dx+\int-13x^{72}dx\right)x^2. Solve the product -3\left(\int-13x^2dx+\int-13x^{72}dx\right).

Final Answer

$\left(-\frac{111}{5}x^{5}+13x^{3}+\frac{39}{73}x^{73}\right)x^2+C_0$

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Function Plot

Plotting: $\left(-\frac{111}{5}x^{5}+13x^{3}+\frac{39}{73}x^{73}\right)x^2+C_0$

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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

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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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