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Find the integral of $\left(x-4-\sqrt{5}\right)^2$

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Solution

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Final Answer

$\frac{\left(-6.236068+x\right)^{3}}{3}+C_0$
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Step-by-step Solution

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Find the integral

$\int\left(x-4-\sqrt{5}\right)^2dx$

Learn how to solve discriminant of quadratic equation problems step by step online.

$\int\left(x-4-\sqrt{5}\right)^2dx$

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Learn how to solve discriminant of quadratic equation problems step by step online. Find the integral of (x-4-5^1/2)^2. Find the integral. Simplifying. Subtract the values -4 and -\sqrt{5}. We can solve the integral \int\left(-6.236068+x\right)^2dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that -6.236068+x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.

Final Answer

$\frac{\left(-6.236068+x\right)^{3}}{3}+C_0$

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

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Function Plot

Plotting: $\frac{\left(-6.236068+x\right)^{3}}{3}+C_0$

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0
a
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d
f
g
m
n
u
v
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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: Discriminant of Quadratic Equation

Quadratic equations are those algebraic equations of the form ax^2+bx+c, where a, b, and c are constant values. The discriminant of a quadratic equation is calculated using the formula D=b^2-4ac, and it helps us to determine how many roots an equation of this type has. When D>0 the equation has two real roots, when D<0 the equation has no real roots, and when D=0 the equation has a repeated real root.

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