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Juli2301 [7.4K]
3 years ago
6

The square root of 92

Mathematics
2 answers:
creativ13 [48]3 years ago
8 0

Answer:

2✓23

Step-by-step explanation:

(1) Find all of the factors under the square root, in thid case, 94. It has thr square factor of 4.

(2) Check the width. ✓4*23=92.

Hope this helped. Unsimplified version: 9.59166305

Pepsi [2]3 years ago
6 0
9.60 I think is the answer
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The first integral is trivial, so we'll focus on the latter one. You have

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Decompose the integrand into partial fractions:

\dfrac{3t^2+2t+3}{(1+t)(1+t^2)}=\dfrac2{1+t}+\dfrac{1+t}{1+t^2}

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\displaystyle2\int\frac{3t^2+2t+3}{(1+t)(1+t^2)}\,\mathrm dt=4\int\frac{\mathrm dt}{1+t}+2\int\frac{\mathrm dt}{1+t^2}+\int\frac{2t}{1+t^2}\,\mathrm dt

which are all standard integrals. You end up with

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To try to get the terms to match up with the available answers, let's add and subtract \ln\left|1+\tan\dfrac x2\right| to get

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