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Indian Navy SSR (Sailor) Integral Calculus — practice questions

Explore 46 free Integral Calculus questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integral Calculus questions and exercises with answers

Showing questions 1–30 of 46.

tan(45°) equals:Read the answer and worked solution →The arithmetic mean of n values x1, x2, ..., xn is:Read the answer and worked solution →∫ cos x dx =Read the answer and worked solution →∫ 1/(1 + x²) dx =Read the answer and worked solution →∫ from 0 to ∞ e^(-x) dx =Read the answer and worked solution →The angle 90° in radians is:Read the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →Complete the relationship between the two calculiRead the answer and worked solution →True or false: the constant of integrationRead the answer and worked solution →Differentiation or integration?Read the answer and worked solution →Tap every property of indefinite integrals the chapter givesRead the answer and worked solution →

Worked practice questions

tan(45°) equals:

  1. ∞
  2. 0
  3. 1
  4. √3
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Correct answer: C. 1

We have tan(45°) = sin(45°)/cos(45°). That is tan(45°) = (1/√2)/(1/√2). So tan(45°) = 1.

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The arithmetic mean of n values x1, x2, ..., xn is:

  1. sum of all values / n
  2. Product / n
  3. n / sum
  4. Largest value
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Correct answer: A. sum of all values / n

Mean = (sum of values) / n. Most common measure of central tendency. Sensitive to outliers.

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∫ cos x dx =

  1. -cos x
  2. cos x
  3. sin x + C
  4. -sin x
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Correct answer: C. sin x + C

d/dx(sin x) = cos x, so ∫ cos x dx = sin x + C.

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