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Use the Table of Integrals in Your Textbook to Evaluate ∫exsec⁡exdx\int e ^ { x } \sec e ^ { x } d x

Question 53

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Use the Table of Integrals in your textbook to evaluate each of the following:
(a) ∫exsec⁡exdx\int e ^ { x } \sec e ^ { x } d x (b) ∫sin⁡4xcos⁡2xdx\int \sin ^ { 4 } x \cos ^ { 2 } x d x (c) ∫1cos⁡3xdx\int \frac { 1 } { \cos ^ { 3 } x } d x (d) ∫x3sin⁡x2dx\int x ^ { 3 } \sin x ^ { 2 } d x (e) ∫14−9x2dx\int \frac { 1 } { \sqrt { 4 - 9 x ^ { 2 } } } d x (f) ∫02x216−x2dx\int _ { 0 } ^ { 2 } \frac { x ^ { 2 } } { \sqrt { 16 - x ^ { 2 } } } d x (g) ∫24dx6x−x2−5\int _ { 2 } ^ { 4 } \frac { d x } { \sqrt { 6 x - x ^ { 2 } - 5 } } (h) ∫0π/2sin⁡t1+cos⁡2tdt\int _ { 0 } ^ { \pi / 2 } \frac { \sin t } { 1 + \cos ^ { 2 } t } d t (i) ∫254+x2x4dx\int _ { 2 } ^ { 5 } \frac { \sqrt { 4 + x ^ { 2 } } } { x ^ { 4 } } d x (j) ∫0x/2e−xsin⁡xdx\int _ { 0 } ^ { x / 2 } e ^ { - x } \sin x d x

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(a) blured image (b) blured image ...

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