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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
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Solve Equations
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Evaluate
\sqrt{2}x^{\frac{3}{2}}
Differentiate w.r.t. x
\frac{3\sqrt{2x}}{2}
Graph
Quiz
Algebra
5 problems similar to:
x \sqrt { 2 x }
Similar Problems from Web Search
How do you use substitution to integrate \displaystyle{x}\sqrt{{{2}{x}-{1}}} ?
https://socratic.org/questions/how-do-you-use-substitution-to-integrate-xsqrt-2x-1
Konstantinos Michailidis Oct 10, 2015 Set \displaystyle{u}={2}{x}-{1}\Rightarrow{x}=\frac{{{u}+{1}}}{{2}} hence \displaystyle{d}{u}={2}{\left.{d}{x}\right.} so now we have \displaystyle\int{x}\sqrt{{{2}{x}-{1}}}{\left.{d}{x}\right.}=\int\frac{{{u}+{1}}}{{2}}\cdot\sqrt{{u}}\cdot\frac{{{d}{u}}}{{2}}=\frac{{1}}{{4}}\int{\left({u}\sqrt{{u}}+\sqrt{{u}}\right)}{d}{u}=\frac{{1}}{{4}}\cdot\frac{{2}}{{15}}\cdot{u}^{{\frac{{3}}{{2}}}}\cdot{\left({3}{u}+{5}\right)}+{c}=\frac{{1}}{{15}}\cdot{\left({2}{x}-{1}\right)}^{{\frac{{3}}{{2}}}}\cdot{\left({3}{x}+{1}\right)}+{c}
How do you find the derivative of \displaystyle{x}{\left(\sqrt{{{2}{x}-{3}}}\right)} ?
https://socratic.org/questions/how-do-you-find-the-derivative-of-x-sqrt-2x-3
Gió May 9, 2015 Have a look: Hope it helps!
Simplifying Taylor Series about x=2 for the function \sqrt{2+x}.
https://math.stackexchange.com/questions/1519806/simplifying-taylor-series-about-x-2-for-the-function-sqrt2x
What are you having trouble understanding? The \sqrt 5 comes from dropping the square brackets and distributing the \sqrt 5 through. The \frac{1}{10}(x - 3) term becomes the value for n =1 in ...
If \sqrt{28x} is an integer is \sqrt{7x} always an integer?
https://math.stackexchange.com/questions/1420419/if-sqrt28x-is-an-integer-is-sqrt7x-always-an-integer
I cannot think of an example of the contrary \dots just wanting to see a counterexample Would ~x=\dfrac1{28}~ satisfy your curiosity ?
Need help simplifying a Radical Expression
https://math.stackexchange.com/questions/2374427/need-help-simplifying-a-radical-expression
x\sqrt{2x}+2\sqrt{2x^3}+\frac{2x^2}{\sqrt{2x}} \frac{\sqrt{2x}x\sqrt{2x}+\sqrt{2x}2\sqrt{2x^3}+2x^2}{\sqrt{2x}} \frac{2x^2+4x^2+2x^2}{\sqrt{2x}} \frac{8x^2}{\sqrt{2x}} \frac{8x^2}{\sqrt{2x}}\cdot\frac{\sqrt{2x}}{\sqrt{2x}} = \frac{8x^2\sqrt{2x}}{2x}=4x\sqrt{2x}
Interior of a set and its closure
https://math.stackexchange.com/questions/668565/interior-of-a-set-and-its-closure
If (x,y) were an interior point of A, then there would be would be an \varepsilon>0 such that (x-ε,x+ε)\times(y-ε,y+ε)\subset A. But A=\Bbb Q×\{1/n\mid n\in\Bbb N\}, so we would have (x-ε,x+ε)⊂\Bbb Q ...
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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