NCERT Class 12 · Ch 7 Miscellaneous Exercise · Q34
NCERT Class 12 Maths · Chapter 7 Integrals · Miscellaneous Exercise Question 34
Prove ∫₋₁¹x¹⁷cos⁴x dx=0.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: 0.
- x¹⁷ is odd and cos⁴x is even, so the product is odd and continuous.
- Its integral over symmetric limits is zero.
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