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Determine Interval - Calculus II - Exam, Exams of Calculus

Acharya Nagarjuna UniversityCalculus

Main points of this exam paper are: Determine Interval, Find Integral, Steps in Derivation, Midpoint Method, Improper Integral Converges, Interval of Convergence, Radius of Convergence, Sum of Series, Exact Value of Sum

Typology: Exams

2012/2013

Uploaded on 03/20/2013

shreya
shreya 🇮🇳

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bg1
Name:
Calculus 2
MA126-6B
Midterm Examination 1
Tuesday, September 30, 2003
Instruction: Answer the questions in the space provided.
Use the scratch paper provided if needed. Please keep your
answers neat, complete but brief, and to the point.
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Total
Please do not write in this box
pf3
pf4
pf5

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Calculus 2

MA126-6B

Midterm Examination 1

Tuesday, September 30, 2003

Instruction:Use the scratch paper provided if needed. Please keep your Answer the questions in the space provided. answers neat, complete but brief, and to the point.

Question 1Question 2 Question 3Question 4 Question 5Question 6 Total Please do not write in this box

QUESTION 1. Define: f (x) =^ ∫^0 x cos(t^2 ) dt, 0 < x < √π. Determine the interval(s) where f is increasing.

  • QUESTION 3. Compute: ∫
    • 0 x^2 dx −

QUESTION 4. Find the integral: ∫ cos^3 x sin^2 x dx.

QUESTION 6. Determine whether the following improper integral converges: ∫ (^) ∞ 1 √x^31 + 1^ dx.