3 years ago

Multiply using napier's rods 3x4565

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Thats funny :)

Good luck :)

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nico put some cupcakes i the oven at 8:55 they need to bake or 25 mins what time do they get took out

Gelneren [198K]

Since an hour has 60 minutes you will take away 5 from 25 and put the 5 on 55 to get 9:00 then you add the rest to get 9:20.

Hope this helps. :)

5 0

3 years ago

Integrate sin²2x cos²2x dx

DochEvi [55]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$