TS EAMCET · Maths · Definite Integration
\(\int_0^3\left(\sin \left(\frac{\pi}{3} x\right)-\cos \left(\frac{\pi}{3} x\right)\right) d x=\)
- A \(\frac{-6}{\pi}\)
- B 0
- C \(\frac{-3}{\pi}\)
- D \(\frac{6}{\pi}\)
Answer & Solution
Correct Answer
(D) \(\frac{6}{\pi}\)
Step-by-step Solution
Detailed explanation
Given \(\int_0^3\left(\sin \left(\frac{\pi}{3} x\right)-\cos \left(\frac{\pi}{3} x\right)\right) d x\) Let \(I=\int_0^3\left(\sin \left(\frac{\pi}{3} x\right)-\cos \left(\frac{\pi}{3} x\right)\right) d x\)…
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