2 Evaluate the improper integral: $\int_o^\infty 1.35 \times 10^{-7} e^{-0.03x}x^4 dx$ 1 Path Integrals using points 0 Laplace transform of $u(t)$ 0 What is the name of the theorem that allows one to change the variable of integration by multiplying the integrand by the variable’s derivative? 0 A faster way to solve this mixture problem?

### Reputation (289)

 +2 Prove convergence of analytic part and principal part of laurent series +10 What is the name of this inequality? (Lower bound for polynomials in $\mathbb{C}$) +10 Understanding the c.d.f of $Y_n=\max\{X_1,..,X_n\}$ and $Y_1=\min\{X_1,..,X_n\}$ +10 Evaluate the improper integral: $\int_o^\infty 1.35 \times 10^{-7} e^{-0.03x}x^4 dx$

### Questions (8)

 2 Reference for a theorem of differential equations 2 Substitution in the DE $y' \tan(y)+4x^3\cos(y)=2x$ 2 Finding a solution for $yy'+xy=x^3 , \quad y=y(x)$ 2 Compact general solution to the DE of the form $u'' +u =0$ 1 What is the name of this inequality? (Lower bound for polynomials in $\mathbb{C}$)

### Tags (25)

 2 calculus × 5 1 vector-analysis × 2 2 improper-integrals 0 substitution × 4 2 convergence 0 algebra-precalculus × 3 1 integration × 5 0 probability × 2 1 multivariable-calculus × 3 0 functions × 2