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Worksheets of Integration

Test your skills on Integration by trying out Integration worksheets. 5 Integration worksheets available to gain expertise and excel in your grades. The worksheets on Integration have been designed to offer a wide range of questions covering all details of the Integration and are in compliance with the k-12 curriculum. Detailed answers will be provided after you have attempted the Integration worksheet. Each worksheet will have around 10 questions and there are multiple worksheets available to try out.

  • Trigonometric Worksheet

    1. Differentiate the function f (x) where f (x) = 3 sin (x) - 4 sin (x)?
      • 3 sin (x) + 4 cos (x)
      • 3 cos (x) + 4 sin (x)
      • 2 sin (x) + 4 cos (x)
      • 5 sin (x) + 8 cos (x)
    2. Differentiate the function f ( x ) = x 3 tan ( x )?
      • x 2( x sec 2 x + 3 tan x )
      • x2 ( cosec 2 x + 3 tan x )
      • x2 ( sec x + 3 tan x )
      • x2 ( sec x + 3 tan2 x )
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  • Fourier Series and Laplace Transform Worksheet

    1. Find out the Laplace transform of the function given below: 
      f(t) = t when 0 ≤ t ≤ ( ½ )
      f(t) = t – 1 when ( ½ )≤ t ≤ 1
      f(t) = 0 when t > 1?
      • (1/s2) [ (e-s - 1) + se(-s/2)]
      • (1/s2) [ (e-s - 1) + se(-s/2)]
      • (1/s2) [ (e-s - 1) + se(-s/2)]
      • (1/s2) [ (e-s - 1) + se(-s/2)]
    2. Find out the Laplace transform of the function f(t) = (1/t2) (1 – cos t)?
      • s log s / √(s2 + 1) + tan-1 (3/s)
      • s log s / √(2s2 + 1) + tan-1 (2/s)
      • s log 2s / √(s2 + 1) + tan-1 (2/s)
      • s log s / √(s2 + 1) + tan-1 (1/s)
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  • Power Rule Worksheet

    1. Determine derivative of the function y = (-x2) using power rule?
      • -2 x
      • -3 x
      • - x
      • -4 x
    2. Find d/dx (-1/x2) using power rule?
      • -1/x2
      • -3 x
      • 2/x3
      • -4 x
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  • Fourier Cosine Transform Worksheet

    1. Find the cosine transformation for Fourier series where  function f(t) = cos (πpt)?
      • f(u)   = ½ δ(u-p) + δ(u +)p
      • f(u)   = ½ δ(u-p) + ½ δ(u -p)
      • f(u)   = ½ δ(u-q) +  δ(u q)
      • f(u)   = ½ δ(u-p) + ½ δ(u +p)
    2. Find the cosine transformation for Fourier series where function f(x) = eax where interval of this function is (-π, π)?
      • a­n = (a(-1)n sinh(aπ))/π(a2+n2)
      • a­n = (2a(1)n sinh(aπ))/π(a2+n2)
      • a­n = (2a(-1)n sinh(aπ))/π(a2+n2)
      • a­n = (2(-1)n sinh(aπ))/π(a2+n2)
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  • Areas of Bounded Region Worksheet

    1. Find out the area bounded by two regions k = u2 and k = √u?
      • 2/3
      • 3/2
      • 1/3
      • 3
    2. Find out the area of the region enclosed by k = u e(u2), k = u+1, u = 2 and the k-axis?
      • 2.489
      • 7.987
      • 4.905
      • 3.509
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