Integrate $\int\left(6x^2+2\left(2x^3+2x-7\right)\right)dx$

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Final answer to the problem

$x^{4}+2x^{3}+2x^2-14x+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
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  • 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

Rewrite the expression $6x^2+2\left(2x^3+2x-7\right)$ inside the integral in factored form

$\int2\left(2x^{2}+5x+7\right)\left(x-1\right)dx$

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

$\int2\left(2x^{2}+5x+7\right)\left(x-1\right)dx$

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Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(6x^2+2(2x^3+2x+-7))dx. Rewrite the expression 6x^2+2\left(2x^3+2x-7\right) inside the integral in factored form. Multiplying polynomials 2x^{2}+5x+7 and x-1. Solve the product \left(2x^{2}+5x+7\right)x. Solve the product x\left(5x+7\right).

Final answer to the problem

$x^{4}+2x^{3}+2x^2-14x+C_0$

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Function Plot

Plotting: $x^{4}+2x^{3}+2x^2-14x+C_0$

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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

How to improve your answer:

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (4)

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