Find the integral $\int\frac{10-y}{2}dy$

Step-by-step Solution

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Solving: $\int\frac{10-y}{2}dy$

Final answer to the problem

$5y-\frac{1}{4}y^2+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
  • 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
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1

Take the constant $\frac{1}{2}$ out of the integral

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

$\frac{1}{2}\int\left(10-y\right)dy$

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((10-y)/2)dy. Take the constant \frac{1}{2} out of the integral. Simplify the expression. The integral \frac{1}{2}\int10dy results in: 5y. The integral -\frac{1}{2}\int ydy results in: -\frac{1}{4}y^2.

Final answer to the problem

$5y-\frac{1}{4}y^2+C_0$

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Function Plot

Plotting: $5y-\frac{1}{4}y^2+C_0$

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Answer Assistant

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Got a different answer? Verify it!

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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

See formulas (4)

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