JEE Mains 31-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

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Question : 75 of 90

Marks: +1, -0

Let α∈(0,1) and β=loge(1−α). Let Pn(x)=x+‌

x2

2

+‌

x3

3

+.....+‌

xn

n

,x∈(0,1).
Then the integral

α

∫

0

‌

t50

1−t

‌dt is equal to

[31-Jan-2023 Shift 1]

β−P50(α)
−(β+P50(α))
P50(α)−β
β+P50(α)

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