Evaluate \(\int^{2} _{3}(x^2 - 2x)dx\)
...Evaluate \(\int^{2} _{3}(x^2 - 2x)dx\)
4
2
4/3
1/3
Correct answer is C
\(\int^{2} _{3}(x^2 - 2x)dx\\=\left[\frac{x^3}{3}-\frac{2x^2}{2}\right ]^{2}_{3}\\\left[\frac{x^3}{3}-x^2 + C\right ]^{2}_{3}\\\left[\frac{3^3}{3}-3^2 + C \right ]-\left[\frac{2^3}{3}-2^2 + C \right ]\\9-9-\left[\frac{8}{3}-4 \right ]\\=\frac{-8}{3}+4\\=\frac{4}{3}\)
If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q ...
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)...
Find the gradient of the line joining the points (2, -3) and 2, 5) ...
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)...
Evaluate \(\int_1 ^2(6x^2-2x)dx\) ...