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Solve the integral: int(x^3+4x^2+sinx)dx.

First, since there are terms with different factors of x summing together, we can separate these into three individual integrals as follows:int(x 3 dx) + 4int(x 2 dx) + int(sinx dx)Then using the rules of in...
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Why is Lithium a +1 ion and Chlorine a -1 ion?

The answer lies in how many electron there are in the outer shells of each of the elements and how many electrons they can get or give away to gain a fuller outer shell. Lithium has 1 electron in its outer s...
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A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?

Pythagorus' theorem a^2 + b^2 = c^2 4^2 + 5^2 = c^216+25 = c^241 = c^2Root 41 or 6.403 = c
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Explain the effect on economic growth if a government increases income tax (ceteris paribus).

An increase in taxation reflects tighter fiscal policy, reducing the take home pay of those employed. This will reduce the amount of income that households are willing to spend on goods and services in the e...
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A curve C has equation: y = x^2 − 2x − 24x^1/2, x > 0; Find (i) dy/dx (ii) d^2y/dx^2

i) let dy/dx = ans, where ans = y, where you multiply the coefficients of each constant of x by the power and reduce the power by 1 in the equation ytherefore dy/dx = 2x - 2 - 12x -1/2 ii) repeat the process...
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