JEE Mains · Maths · STD 12 - 7.2 definite integral
If \(\int \limits_{-0.15}^{0.15}\left|100 x ^2-1\right| dx =\frac{ k }{3000}\), then \(k\) is equal to \(..........\).
- A \(574\)
- B \(573\)
- C \(572\)
- D \(575\)
Answer & Solution
Correct Answer
(D) \(575\)
Step-by-step Solution
Detailed explanation
\(\int \limits_{-0.15}^{0.15}\left|100 x ^2-1\right| dx =2 \int \limits_0^{0.15}\left|100 x ^2-1\right| dx\) Now \(100 x ^2-1=0 \Rightarrow x ^2=\frac{1}{100} \Rightarrow x =0.1\)…
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