Use the Table of Integrals in Your Textbook to Evaluate $\int e ^ { x } \sec e ^ { x } d x$

question 53

Essay

Use the Table of Integrals in your textbook to evaluate each of the following:
(a) $\int e ^ { x } \sec e ^ { x } d x$ (b) $\int \sin ^ { 4 } x \cos ^ { 2 } x d x$ (c) $\int \frac { 1 } { \cos ^ { 3 } x } d x$ (d) $\int x ^ { 3 } \sin x ^ { 2 } d x$ (e) $\int \frac { 1 } { \sqrt { 4 - 9 x ^ { 2 } } } d x$ (f) $\int _ { 0 } ^ { 2 } \frac { x ^ { 2 } } { \sqrt { 16 - x ^ { 2 } } } d x$ (g) $\int _ { 2 } ^ { 4 } \frac { d x } { \sqrt { 6 x - x ^ { 2 } - 5 } }$ (h) $\int _ { 0 } ^ { \pi / 2 } \frac { \sin t } { 1 + \cos ^ { 2 } t } d t$ (i) $\int _ { 2 } ^ { 5 } \frac { \sqrt { 4 + x ^ { 2 } } } { x ^ { 4 } } d x$ (j) $\int _ { 0 } ^ { x / 2 } e ^ { - x } \sin x d x$

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