TS EAMCET · Maths · Indefinite Integration
\(\int x^4 e^{2 x} d x=\)
- A \(\frac{e^{2 x}}{4}\left(2 x^4-4 x^3+6 x^2-6 x+3\right)+C\)
- B \(\frac{e^{2 x}}{2}\left(2 x^4-4 x^3+6 x^2-6 x+3\right)+C\)
- C \(\frac{e^{2 x}}{8}\left(2 x^4+4 x^3+6 x^2+6 x+3\right)+C\)
- D \(-\frac{e^{2 x}}{4}\left(2 x^4+4 x^3+6 x^2+6 x+3\right)+C\)
Answer & Solution
Correct Answer
(A) \(\frac{e^{2 x}}{4}\left(2 x^4-4 x^3+6 x^2-6 x+3\right)+C\)
Step-by-step Solution
Detailed explanation
Let \(I=\int x^4 e^{2 x} d x\)…
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