CUET · MATHS · PYQ PAPER 2023
The value of \(\int(5 x-2)^3 d x\) is:
- A \(3(5 x-2)+C ; C\) is constant of integration
- B \(15(5 x-2)^2+C ; C\) is constant of integration
- C \((5 x-2)^4+C ; C\) is constant of integration
- D \(\frac{(5 x-2)^4}{20}+C ; C\) is constant of integration
Answer & Solution
Correct Answer
(D) \(\frac{(5 x-2)^4}{20}+C ; C\) is constant of integration
Step-by-step Solution
Detailed explanation
\(\int(5 x-2)^3 d x = \frac{(5 x-2)^{3+1}}{5(3+1)} + C\) \(= \frac{(5 x-2)^4}{20} + C\)
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