\( \int _{}^{}\frac{dx}{x^{2}-8x-16} d \)

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

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

4-р хэсэг. Бодолтыг хийнэ. 2 оноо 1. \( y=x^{3}-3 x^{2}-9 x+4 \) функцийн хотойх, гүдийх завсар олоорой.

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.