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Find the integral $\int\frac{10}{1+x+x}dx$

Step-by-step Solution

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Final Answer

$5\ln\left(2x+1\right)+C_0$
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Step-by-step Solution

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Combining like terms $x$ and $x$

$\int\frac{10}{1+2x}dx$

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

$\int\frac{10}{1+2x}dx$

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int(10/(1+xx))dx. Combining like terms x and x. The integral of a function times a constant (10) is equal to the constant times the integral of the function. Apply the formula: \int\frac{n}{ax+b}dx=\frac{n}{a}\ln\left(ax+b\right)+C, where a=2, b=1 and n=1. Simplify the expression inside the integral.

Final Answer

$5\ln\left(2x+1\right)+C_0$

Explore different ways to solve this problem

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

Solve integral of (10/(1+x))dx using partial fractionsSolve integral of (10/(1+x))dx using basic integralsSolve integral of (10/(1+x))dx using u-substitutionSolve integral of (10/(1+x))dx using integration by partsSolve integral of (10/(1+x))dx using trigonometric substitution

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Function Plot

Plotting: $5\ln\left(2x+1\right)+C_0$

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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

How to improve your answer:

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Used Formulas

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