7 - Section 7.3 Notes PDF

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Section 7.3 Notes...

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7.3 Table of Integrals Example 1. Find each integral using the table of integrals. R 1. x2 +61x+8 dx (factoring) R 2. x2 +61x+9 dx (factoring/completing the square) R 3. x2 +61x+14 dx (completing the square) 4.

R

3t3 +49t+3 dt t2 +4

5.

R

√ dx 9−16x2

6.

R

7.

R

8.

R

(long division)

(taking out some constant or u-sub)

dx √ −2x2 +4x+5

(completing the square)

et sin(5t + 7)dt (u-sub first) cos5 (2t)dt

What would you do? R 1 dt 1. t2 +6t R 2. t2 +61t+9 dt R 3. t2 +61t+10 dt R 4. t2 +6t t+8 dt R t+3 5. t2 +6 dt t+8 6.

R

7.

R

8.

R

et dt e2t +6et +8

9.

R

t2 +6t+8 dt t2

t2 dt t2 +6t+8 √ 1 dt t2 +6t+8

1...