Find ∫(x2 + 3x − 5)dx
- \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
- \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
-
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
- \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
The correct answer is: C
Explanation
∫xndx = \(\frac{x_{n + 1}}{n + 1}\)∫dx = x + k
where k is constant
∫(x2 + 3x − 5)dx
∫x2 dx + ∫3xdx − ∫5dx
\(\frac{2_{2 + 1}}{2 + 1}\) + \(\frac{3x^{1 + 1}}{1 + 1}\) − 5x + k
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) − 5x + k
There is an explanation video available .