Next, find the horizontal asymptote, if any. This is done by determining the ratio of the degree of the polynomial in the numerator to the degree of the \[ g(x)=\frac{x^{2}-2 x-35}{x^{2}-36} \] degree of numerator degree of denominator

Suppose \( \int_{2}^{4} f(x) d x=-8 \int_{2}^{7} f(x) d x=6 \), and \( \int_{2}^{7} g(x) d x=5 \) Evaluate the following integrals \( \int_{7}^{2} g(x) d x=\square \) \( \int_{2}^{7} 6 g(x) d x=\square \) (Simplify your answer.) \( \int_{2}^{7}[g(x)-f(x)] d x=\square \) (Simplify your answer )

\( \int _ { 0 } ^ { 3 \pi / 2 } x \sin x d x = \square \)

\( \int_{0}^{5} f(x) d x \), where \( f(x)=\left\{\begin{array}{ll}5 & \text { if } x \leq 3 \\ 3 x-4 & \text { if } x>3\end{array}\right. \)

\( e ^ { 4 + i } \)

\( \int _ { 1 } ^ { 2 } \int _ { - 1 } ^ { 2 } ( 12 x y ^ { 2 } - 8 y ^ { 3 } ) d y d \)