Question
Asked Sep 27, 2019
8 views
3t
The integral
dt can be rewritten as
19t2
3
dt.
18
19t2
By substitution we have
X
X
3
dw
dw
18
6
W
W
In(w)
9
Writing this in terms of t we have
X
In(1
9
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3t The integral dt can be rewritten as 19t2 3 dt. 18 19t2 By substitution we have X X 3 dw dw 18 6 W W In(w) 9 Writing this in terms of t we have X In(1 9

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Expert Answer

Step 1

The integral can be written as,

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3t -dt 1+912 18 dt 1+9t218 3t 18 t 3 dt 1+9t218

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Step 2

Take w = 1 + 9t2, then dw = 18t dt.

By substitutio...

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13 |dw w{18 3 dt 1+9t218 18f 1 dw w6 1r1 dw 6 (In w) 6 1 In (w) |

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Tagged in

Math

Calculus

Integration