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Find \(\int (x^{2} + 3x-5)dx\)
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Classroom
Mathematics Classroom
Jamb
Topics
Jamb 2017
CALCULUS
Integration
Indefinite Integral
Take Free Practice Test On 2024 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Find \(\int (x^{2} + 3x-5)dx\)
A.
\(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
B.
\(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
C.
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
D.
\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
Show Answer
Show Explanation
Correct Answer: C
Explanation
∫x
n
dx = \(\frac{x_{n + 1}}{n + 1}\)
∫dx = x + k
where k is constant
∫(x
2
+ 3x − 5)dx
∫x
2
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
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