Substitution

$⊳$ u-substitution intro (5:11) Find $\int (3 x^{2} + 2 x) e^{x^{3} + x^{2}} d x$ .
$⊳$ u-substitution: multiplying by a constant (5:32) Find $\int \sqrt{7 x + 9} d x$ .
$⊳$ u-substitution: defining u (3:34) Find $\int (2 x + 1) \sqrt{x^{2} + x} d x$ .
$⊳$ u-substitution: defining u (more examples) (4:33) Find $\int \frac{(\ln (x))^{10}}{x} d x$ and $\int (\tan x) d x$ .
* Practice: $u$ -substitution: defining $u$ . (4 problems)
$⊳$ u-substitution: rational function (4:03) Find $\int \frac{4 x^{3}}{x^{4} + 7} d x$ .
$⊳$ u-substitution: logarithmic function (3:38) Find $\int \frac{π}{x \ln x} d x$ .
* Practice: $u$ -substitution: indefinite integrals. (4 problems)
$⊳$ u-substitution: definite integrals (5:52) Find $\int_{1}^{2} 2 x (x^{2} + 1)^{3} d x$ .
* Practice: $u$ -substitution: definite integrals. (4 problems)
$⊳$ u-substitution: definite integral of exponential functions (7:52) Find $\int_{0}^{1} x^{2} 2^{x^{3}} d x$ .

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The OpenLab at City Tech:A place to learn, work, and share

The OpenLab at City Tech:A place to learn, work, and share

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The OpenLab at City Tech:A place to learn, work, and share

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Copyright

Creative Commons