A factory received an order for 1,758 laptops. For the first 6 days, it produced 125 laptops per day. If it was asked to finish
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Automatically, we can factor an n out of the dividend, as each term shares this factor.
The new dividend is 8n^4 - 3n^3 - 56n + 13
After applying algebraic long division, which is included in the screenshot below, the quotient is equal to n(n^3 - 7 + (8/8n - 3))
Answer:
Step-by-step explanation:
[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]
Recall that we can express the squared trig functions in terms of cos(2x). That is,
And so inverting these,
.
Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).
Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).
So then,
This is now integrable (phew),