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Algebra Baldor
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Solve the integral of logarithmic functions $\int\ln\left(9x+7\right)dx$

Step-by-step Solution

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Solution

Final answer to the problem

$\left(9x+7\right)\ln\left|9x+7\right|-9x+C_1$
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Step-by-step Solution

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Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(9x+7))dx. The integral \int\ln\left(9x+7\right)dx results in \left(9x+7\right)\ln\left(9x+7\right)-\left(9x+7\right). Simplify the product -(9x+7). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. We can combine and rename -7 and C_0 as other constant of integration.

Final answer to the problem

$\left(9x+7\right)\ln\left|9x+7\right|-9x+C_1$

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Function Plot

Plotting: $\left(9x+7\right)\ln\left(9x+7\right)-9x+C_1$

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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
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

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