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Integrate the function $\frac{x}{2}$ from 0 to $4$

Step-by-step Solution

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e
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sin
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asin
acos
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sinh
cosh
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coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$4$
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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

$\frac{1}{2}\int_{0}^{4} xdx$

Learn how to solve definite integrals problems step by step online.

$\frac{1}{2}\int_{0}^{4} xdx$

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Learn how to solve definite integrals problems step by step online. Integrate the function x/2 from 0 to 4. Take the constant \frac{1}{2} out of the integral. Divide 1 by 2. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral.

Final answer to the problem

$4$

Exact Numeric Answer

$4$

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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

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Function Plot

Plotting: $\frac{x}{2}$

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Answer Assistant

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Got a different answer? Verify it!

Go!
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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

See formulas (1)

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