St. R. C CONVENT SCHOOL JHINJHANA
UT-ll EXAM 2024
CLASS-12 SUBJECT- MATHS. M.M 20
NOTE: All questions are compulsory:
Q.1. ∫ ( sin⁴x - cos⁴x) dx.
Q.2. .∫ √ dx
Q.3. ∫ x ( 1 + x² ) dx
Q.4. ∫ tanx / sinx.cosx dx
Q.5. ∫ [ (x+1).(x+ logx)²] / x dx
Q.6. ∫ x cosx dx.
Q.7. ∫ [ ( x⁴ -x )¼ ] / x⁵ dx
Q.8. ∫ ( 1+ sin2x ) dx
Q.9. ∫ tan⁷tan x / { cot⁷x + tan⁷tan x}dx
Q.10. ∫ sin¹{ 2x/1+x²} dx
Q.11. ∫ ( 6x +7 ) / { (x-5) (x-4) } dx
Q.12. ( Lim 0 to π\2 ) ∫ sin² x / ( sinx + cosx )dx
Q.13. lim(-1 to 2) ∫ l x+1l + lxl + lx-1l dx
Q.14 ∫ log(logx) + 1 / (logx)² dx
Q.15. ∫ { x³ + x } / {x⁴ - 9} dx
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