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Mean
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Greatest Common Factor
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Mixed Fractions
Prime Factorization
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Radicals
Algebra
Combine Like Terms
Solve for a Variable
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Expand
Evaluate Fractions
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Evaluate
\frac{\left(2x+1\right)^{\frac{5}{2}}}{10}-\frac{\left(2x+1\right)^{\frac{3}{2}}}{6}+С
Differentiate w.r.t. x
\sqrt{2x+1}x
Graph
Quiz
Integration
5 problems similar to:
\int x \sqrt { 2 x + 1 }
Similar Problems from Web Search
How do you integrate \displaystyle\int{x}\sqrt{{{2}{x}+{1}}} using substitution?
https://socratic.org/questions/how-do-you-integrate-int-xsqrt-2x-1-using-substitution
\displaystyle=\frac{{1}}{{10}}{\left({2}{x}+{1}\right)}^{{\frac{{5}}{{2}}}}-\frac{{1}}{{6}}{\left({2}{x}+{1}\right)}^{{\frac{{3}}{{2}}}}+{C} Explanation: Let \displaystyle{u}={2}{x}+{1}\Rightarrow{d}{u}={2}{\left.{d}{x}\right.} ...
How do you integrate \displaystyle\int{5}{x}\sqrt{{{2}{x}+{3}}} using substitution?
https://socratic.org/questions/how-do-you-integrate-int5xsqrt-2x-3-using-substitution
\displaystyle\int{5}{x}\cdot\sqrt{{{2}{x}+{3}}}{\left.{d}{x}\right.}=\frac{{1}}{{2}}{\left({2}{x}+{3}\right)}^{{\frac{{5}}{{2}}}}-\frac{{5}}{{2}}{\left({2}{x}+{3}\right)}^{{\frac{{3}}{{2}}}}+{C} ...
How do you integrate \displaystyle\int{x}\sqrt{{{x}-{1}}} by parts?
https://socratic.org/questions/how-do-you-integrate-int-xsqrt-x-1-by-parts
t0hierry Jan 30, 2017 \displaystyle{x}={{\cos}^{{2}}{y}} \displaystyle\sqrt{{{x}-{1}}}={\sin{{y}}} \displaystyle{I}=\int{{\cos}^{{2}}{y}}{\sin{{y}}}{2}{\cos{{y}}}{\sin{{y}}}{\left(-{1}\right)} ...
How do you evaluate the integral \displaystyle\int{x}\sqrt{{{x}-{2}}} ?
https://socratic.org/questions/how-do-you-evaluate-the-integral-int-xsqrt-x-2
The answer is \displaystyle=\frac{{2}}{{15}}{\left({x}-{2}\right)}^{{\frac{{3}}{{2}}}}{\left({3}{x}+{4}\right)}+{C} Explanation: We need \displaystyle\int{x}^{{n}}{\left.{d}{x}\right.}=\frac{{x}^{{{n}+{1}}}}{{{n}+{1}}}+{C}{\left({x}\ne-{1}\right)} ...
How do you integrate \displaystyle\int{x}\sqrt{{{4}-{x}}} using substitution?
https://socratic.org/questions/how-do-you-integrate-int-xsqrt-4-x-using-substitution
\displaystyle\int{\left(.\right)}{x}\sqrt{{{4}-{x}}}{\left(.\right)}{\left.{d}{x}\right.}=-\frac{{2}}{{15}}{\left({3}{x}+{8}\right)}{\left({4}-{x}\right)}^{{\frac{{3}}{{2}}}}+{C} ...
How do you integrate \displaystyle\int\sqrt{{{1}+{2}{x}}} using substitution?
https://socratic.org/questions/how-do-you-integrate-int-sqrt-1-2x-using-substitution
\displaystyle\frac{{1}}{{3}}{\left(\sqrt{{{1}+{2}{x}}}\right)}^{{3}}+{C},{\quad\text{or}\quad} \displaystyle\frac{{1}}{{3}}{\left({1}+{2}{x}\right)}^{{\frac{{3}}{{2}}}}+{C} . ...
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Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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