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

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Solution

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Final Answer

$\frac{-9xw+25x}{\left(w-5\right)\left(w-4\right)}+C_0$
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Step-by-step Solution

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The integral $\int\frac{-20}{w-5}dx$ results in: $\frac{-20x}{w-5}$

$\frac{-20x}{w-5}$

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$\frac{-20x}{w-5}$

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Learn how to solve integral calculus problems step by step online. Find the integral int(-20/(w-5))dx+int(11/(w-4))dx. The integral \int\frac{-20}{w-5}dx results in: \frac{-20x}{w-5}. The integral \int\frac{11}{w-4}dx results in: \frac{11x}{w-4}. Gather the results of all integrals. Simplify the expression inside the integral.

Final Answer

$\frac{-9xw+25x}{\left(w-5\right)\left(w-4\right)}+C_0$

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 (-20/(w-5))dx+integral of (11/(w-4))dx using partial fractionsSolve integral of (-20/(w-5))dx+integral of (11/(w-4))dx using basic integralsSolve integral of (-20/(w-5))dx+integral of (11/(w-4))dx using u-substitutionSolve integral of (-20/(w-5))dx+integral of (11/(w-4))dx using integration by partsSolve integral of (-20/(w-5))dx+integral of (11/(w-4))dx using trigonometric substitution

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Function Plot

Plotting: $\frac{-9xw+25x}{\left(w-5\right)\left(w-4\right)}+C_0$

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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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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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