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GUJCET · Maths · Integrals
\(\int x^{2019} \cdot e^{x^{2020}} d x=\) __________ \(+c\).
- A \(\frac{1}{2020} e^{x^{2020}}\)
- B \(\frac{1}{2019} e^{x^{2019}}\)
- C \(e^{x^{2020}}\)
- D \(\frac{1}{2020} e^{x^{2019}}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2020} e^{x^{2020}}\)
Step-by-step Solution
Detailed explanation
Let \(u = x^{2020}\). \(du = 2020 x^{2019} dx \Rightarrow x^{2019} dx = \frac{1}{2020} du\).
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