# Integral - math word problems

The integral is used for calculating the general area, the volume of the sum. Definite integral is actually the content area under the graph of the function at some certain interval . The integral symbol ∫ is derived from the letter S - sum.#### Number of problems found: 5

- Derivation

Exists a function whose derivation is the same function? - A particle

A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t^{2}-4t-4, t>0. Initially the particle is 8 meters to the right of a fixed origin. After how many seconds is the particle at the origin? - The parabolic segment

The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis. - Cylinder horizontally

The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the axis of the cylinder. How many hectoliters of water is in the cylinder? - Truncated cone

Calculate the height of the rotating truncated cone with volume V = 794 cm^{3}and a base radii r_{1}= 9.9 cm and r_{2}= 9.8 cm.

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