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Find the integral of $\frac{12a^2+8a+24}{2}$

Step-by-step Solution

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Solution

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Final answer to the problem

$2a^{3}+2a^2+12a+C_0$
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Step-by-step Solution

How should I solve this problem?

  • Find the integral
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
  • Load more...
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1

Find the integral

$\int\frac{12a^2+8a+24}{2}da$

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

$\int\frac{12a^2+8a+24}{2}da$

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Unlock the first 3 steps of this solution

Learn how to solve integral calculus problems step by step online. Find the integral of (12a^2+8a+24)/2. Find the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression. The integral 6\int a^2da results in: 2a^{3}.

Final answer to the problem

$2a^{3}+2a^2+12a+C_0$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $2a^{3}+2a^2+12a+C_0$

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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
D□x
∫
∫◻
|◻|
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:

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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.

Used Formulas

See formulas (4)

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