-2
2
8
10
Correct answer is A
\(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\)
= \((2x + x^{2} - x^{3})|_{1}^{2}\)
= \((2(2) + 2^{2} - 2^{3}) - (2(1) + 1^{2} - 1^{3})\)
= \(0 - 2 = -2\)
A particle starts from rest and moves in a straight line such that its velocity, V ms\(^{-1}\),...
The distance(s) in metres covered by a particle in motion at any time, t seconds, is given by S...
Find the value of the constant k for which \(a = 4 i - k j\) and \(b = 3 i + 8 j\) are perpendi...
A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the va...
Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)...
If \(\begin{vmatrix} k & k \\ 4 & k \end{vmatrix} + \begin{vmatrix} 2 & 3 \\...
Given that \(r = 3i + 4j\) and \(t = -5i + 12j\), find the acute angle between them....