Integrate $\int\left(x^2-4x+4-\left(-x^2+2x+3\right)\right)dx$

Step-by-step Solution

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Final answer to the problem

$\frac{2}{3}x^{3}-3x^2+x+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

Solve the product $-\left(-x^2+2x+3\right)$

$\int\left(x^2-4x+4+x^2-\left(2x+3\right)\right)dx$

Learn how to solve integrals of polynomial functions problems step by step online.

$\int\left(x^2-4x+4+x^2-\left(2x+3\right)\right)dx$

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Unlock the first 3 steps of this solution

Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x^2-4x+4-(-x^2+2x+3))dx. Solve the product -\left(-x^2+2x+3\right). Solve the product -\left(2x+3\right). Simplify the expression. The integral \int2x^2dx results in: \frac{2}{3}x^{3}.

Final answer to the problem

$\frac{2}{3}x^{3}-3x^2+x+C_0$

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Function Plot

Plotting: $\frac{2}{3}x^{3}-3x^2+x+C_0$

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1
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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

How to improve your answer:

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (4)

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