Integrate the function $\left(x+2\right)\left(x+7\right)$

Step-by-step Solution

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Final answer to the problem

$\frac{x^{3}}{3}+\frac{9}{2}x^2+14x+C_0$
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Step-by-step Solution

How should I solve this problem?

  • Integrate by substitution
  • Integrate by partial fractions
  • 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
  • FOIL Method
  • Load more...
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1

Find the integral

$\int\left(x+2\right)\left(x+7\right)dx$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\int\left(x+2\right)\left(x+7\right)dx$

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Unlock the first 3 steps of this solution

Learn how to solve simplification of algebraic fractions problems step by step online. Integrate the function (x+2)(x+7). Find the integral. Rewrite the integrand \left(x+2\right)\left(x+7\right) in expanded form. Expand the integral \int\left(x^2+9x+14\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2dx results in: \frac{x^{3}}{3}.

Final answer to the problem

$\frac{x^{3}}{3}+\frac{9}{2}x^2+14x+C_0$

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Function Plot

Plotting: $\frac{x^{3}}{3}+\frac{9}{2}x^2+14x+C_0$

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1
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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: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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