AP EAMCET · Maths · Indefinite Integration
If \(\int_1^n[x] d x=120\), then \(n=\)
- A 15
- B 16
- C 14
- D 12
Answer & Solution
Correct Answer
(B) 16
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{I}=\int_1^n[x] d x=120 \\ & \int_1^2 1 d x+\int_2^3 2 d x+\int_3^4 3 d x+\ldots+\int_{n-1}^n(n-1) d x=120 \\ & \Rightarrow 1+2+\ldots+n-1=120 \Rightarrow \frac{(n-1) n}{2}=120 \\ & \Rightarrow n=16,-15 \text { (rejected) } \Rightarrow…
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