Q88.If ∫−𝜋/𝜋/ 2 2 1 +8√2cos𝑥𝑑𝑥𝑒sin𝑥1 + sin4𝑥=
What This Question Tests
This is a challenging definite integration problem that requires the application of King's Rule (property of definite integrals) along with recognition of specific integrand forms after simplification. It tests deep understanding of integral properties and advanced integration techniques.
Concepts Tested
Formulas Used
Integral from -a to a f(x)dx = 2 * Integral from 0 to a f(x)dx if f(x) is even
Integral from a to b f(x)dx = Integral from a to b f(a+b-x)dx
Integral of 1/(a^2+x^2) = (1/a)tan^-1(x/a)
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Properties of definite integrals
- Year
- 2024
- Shift
- 01 Feb Shift 1
- Q Number
- Q88
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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