Definite Integration Question 65
Question 65
- The value of
Show Answer
Solution:
- Let
$$ =\left[\left(1-x^{50}\right)^{101} \cdot x\right]{0}^{1}+\int{0}^{1}\left(1-x^{50}\right)^{100} 50 \cdot x^{49} \cdot x d x $$
[using integration by parts]
Solution:
$$ =\left[\left(1-x^{50}\right)^{101} \cdot x\right]{0}^{1}+\int{0}^{1}\left(1-x^{50}\right)^{100} 50 \cdot x^{49} \cdot x d x $$
[using integration by parts]
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