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Integrate $\int\left(\sqrt{x-4}\right)^2dx$

Step-by-step Solution

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Solution

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Final Answer

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

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1

Simplify the expression inside the integral

$\int xdx+\int-4dx$

Learn how to solve integrals with radicals problems step by step online.

$\int xdx+\int-4dx$

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Learn how to solve integrals with radicals problems step by step online. Integrate int((x-4)^1/2^2)dx. Simplify the expression inside the integral. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int-4dx results in: -4x. Gather the results of all integrals.

Final Answer

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

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 ((x-4)^0.5^2)dx using partial fractionsSolve integral of ((x-4)^0.5^2)dx using basic integralsSolve integral of ((x-4)^0.5^2)dx using u-substitutionSolve integral of ((x-4)^0.5^2)dx using integration by partsSolve integral of ((x-4)^0.5^2)dx using trigonometric substitution

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Function Plot

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

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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
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

How to improve your answer:

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Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

Used Formulas

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