- $\rhd$ u-substitution intro (5:11) Find $\displaystyle\int(3x^2+2x)e^{x^3+x^2}dx$.
- $\rhd$ u-substitution: multiplying by a constant (5:32) Find $\displaystyle\int{\sqrt{7x+9}}dx$.
- $\rhd$ u-substitution: defining u (3:34) Find $\displaystyle\int(2x+1)\sqrt{x^2+x}dx$.
- $\rhd$ u-substitution: defining u (more examples) (4:33) Find $\displaystyle\int\dfrac{(\ln(x))^{10}}{x}dx$ and $\displaystyle\int(\tan x) dx$.
- * Practice: $u$-substitution: defining $u$. (4 problems)
- $\rhd$ u-substitution: rational function (4:03) Find $\displaystyle\int\dfrac{4x^3}{x^4+7}dx$.
- $\rhd$ u-substitution: logarithmic function (3:38) Find $\displaystyle\int\dfrac{\pi}{x\ln x}dx$.
- * Practice: $u$-substitution: indefinite integrals. (4 problems)
- $\rhd$ u-substitution: definite integrals (5:52) Find $\displaystyle\int_1^22x(x^2+1)^3dx$.
- * Practice: $u$-substitution: definite integrals. (4 problems)
- $\rhd$ u-substitution: definite integral of exponential functions (7:52) Find $\displaystyle\int_0^1x^22^{x^3}dx$.