AP EAMCET · Maths · Definite Integration
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
The formula for the integration, Im=∫0∞e-xsinmxdx, where m>2 ⇒Im=m(m-1)1+m2Im-2 Now, I6=∫0∞e-xsin6xdx ⇒I6=6(5)1+62I4 ⇒I6=3037I4 Similarly, I4=∫0∞e-xsin4xdx ⇒I4=4(3)1+42I2 ⇒I4=1217I2 Similarly,…
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