DIketahui \( D=\frac{18}{4} r^{3} \hat{a}_{r} \) dimana \( r \leq 5 \leq 2 m ; 0 \leq z \leq 10 ; 0 \leq \varphi \leq 2 \pi \) Tunjukan ruas kiri dan kanan dari teorema divergensi \( \int / \vec{D} \cdot \overrightarrow{d s}=\iint / \nabla \cdot D \cdot d v \)

\( \int _{}^{}\frac{1}{e^{x^{2}}}e^{\int _{}^{}2 d x} d x \)

Use polynomial long division to evaluate the integral of \( \frac{x^4 + 6x^3 + 4x^2 + 8}{x^2 + 2} \) for integration.

Calculate the Riemann sum for the function \( f(x) = x^2 \) on the interval [1, 3] using 4 subintervals with left endpoints.

\( \int _{}^{}\frac{1}{e^{x^{2}}}e^{\int _{}^{}2 d x} d x \)

77-78 Use l'Hospital's Rule to evaluate the limit. 77. \( \lim _{x \rightarrow 0} \frac{1}{x^{2}} \int_{0}^{x} \frac{2 t}{\sqrt{t^{3}+1}} d t \)