Q74.The value of the integral ∫10 (1+x)(1+3x)(3+x)√xdx is: (1) π 4 (1 −√32 ) (2) π8 (1 −√36 ) (3) π 8 (1 −√32 ) (4) π4 (1 −√36 )
What This Question Tests
This problem involves a complex definite integral that requires a suitable substitution (e.g., √x = t or x = t²) to simplify the integrand and then evaluate the resulting integral.
Concepts Tested
Formulas Used
∫ f(u) du
Substitution x = u² or x = tan²θ
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Definite Integration & Area
- Topic
- Definite Integrals
- Year
- 2021
- Shift
- 27 Aug Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 7: Integrals
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