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Find the integral $\int\frac{-20}{w-5}dw+\int\frac{11}{w-4}dw$

Step-by-step Solution

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Solving: $\int\frac{-20}{w-5}dw+\int\frac{11}{w-4}dw$

Final Answer

$-20\ln\left(-5+w\right)+11\ln\left(-4+w\right)+C_0$
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Step-by-step Solution

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The integral $\int\frac{-20}{w-5}dw$ results in: $-20\ln\left(-5+w\right)$

$-20\ln\left(-5+w\right)$

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

$-20\ln\left(-5+w\right)$

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Learn how to solve integral calculus problems step by step online. Find the integral int(-20/(w-5))dw+int(11/(w-4))dw. The integral \int\frac{-20}{w-5}dw results in: -20\ln\left(-5+w\right). The integral \int\frac{11}{w-4}dw results in: 11\ln\left(-4+w\right). Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final Answer

$-20\ln\left(-5+w\right)+11\ln\left(-4+w\right)+C_0$

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Function Plot

Plotting: $-20\ln\left(-5+w\right)+11\ln\left(-4+w\right)+C_0$

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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: 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.

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