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12th Maths Sectionwise paper - 03 (Integrals and DE)
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MATHEMATICS Class II Pre-Uni Plus 2016-17 Topics Board Section-wise Test - 03 Integral Calculus, Limit of a sum, Area and Differential equations Max. Marks 100 Duration Date 3 hrs 15 min 31-12-2016 Instructions 1. Do not overwrite. 2. Draw a line using pen at the end of each answer. 3. Steps adopted in solving problems should be clearly shown. 4. In case of violation of the above conditions, the answer scripts will not be considered for valuation. PART - A I. Answer the following questions [10 1 = 10] 1. Evaluate e 2loge x dx 2. Evaluate sec 2 (7 4x)dx 3. Evaluate e x (tan x sec2 x)dx 4. Evaluate (2x 3cos x e x ) dx 1 5. Find the antiderivative of x 2 1 2 w.r.t. x. x a 6. If 3x 2 dx 8 find the value of a. 0 3 7. Evaluate 1 1 x 2 dx 1 e 8. Evaluate 1 x dx 1 4 d 2s ds 9. Find the order of 3s 2 0 dt dt 2 d2 y dy 10. Find the degree of 2 cos 0 dx dx PART - B II. Answer any TEN of the following questions 11. Evaluate sin 2 x 1 cos x dx . 12. Evaluate x 2P1617M(B)SWT3 1 x dx . 1 [10 2 = 20]
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