Class 12 Integrals · Mcq Single Correct1 Marksintegration
Class 12 Maths · Integrals · Mcq Single Correct #18
Evaluate \(\int_{-2}^{2}|x\cos(\pi x)|\,dx\).
✅ Step-by-Step Solution
Final Answer: Option (A): 8/π
- The integrand is even. On [0,2] split at 1/2 and 3/2, using signs +,−,+ for cosπx. An antiderivative of x cosπx is x sinπx/π+cosπx/π²; the doubled signed sum is 8/π.
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