ICSE Specimen Paper Class 12 Semester 2 – Mathematics 2022
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SPECIMEN QUESTION PAPER
MATHEMATICS
(i) If ∫(log x)2/x dx = (logx)∧k / + c, then the value of k is:
(a) 3
(b) 2
(c) 1
(d) None of the above options
(ii) ∫2 0 (x) dx = ∫ 0 (x) dx + ∫0 ( − x) dx , then the value of is:
(a)
(b) 2
(c) Independent of
(d) None of the above options
(iii)The degree of the differential equation 2 /dx2 + 3 ( /dx)2 = x2 ( 2/dx2 ) is:
(a) 1 (b) 2 (c) 3 (d) 4
(iv) Given ∫x( x−1 x2) dx = x(x) + c. Then (x) satisfying the equation is:
(a) x
(b) x2
(c) 1 x
(d) None of the above options
Question 2
(a) Evaluate : ∫ x3−x2+x−1/x−1 dx
OR
(b) Evaluate : ∫ log10 x dx
Question 3
(a) Solve the differential equation :
Cosec3 x − cosec y dx = 0
OR
(b) Solve the differential equation :
/dx = 2-y
860 MATHEMATICS SEM II SPECIMEN(1)