What is the difference between definite and indefinite integrals?

Definite integrals produces a numerical answer. It is asking the question: what is the area under the curve f(x) between x=a and x=b.

Indefinite integrals produces a function. It is asking the question: what function F(x), when differentiated, gives f(x). The answer is a function of x + c (where c is an arbitrary constant)

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How do you find an angle in a right-angled triangle when you are given two of its side's lengths?


How do I solve x^2 > 6 - x


Use the addition formulas: sin(x+y)=sin(x)*cos(y)+sin(y)*cos(x), cos(x+y)=cos(x)*cos(y)-sin(x)*sin(y) to derive sin(2x), cos(2x), sin(x)+sin(y).


How would I answer this question? Use factor theorem to show (x-2) is a factor of f(x) = 2x^3 -7x^2 +4x +4.