# Integral - practice problems

The integral is used for calculating the general area, the volume of the sum. Definite integral is actually the area under the graph of the function at some certain interval . The integral symbol ∫ is derived from the letter S - sum.Direction: Solve each problem carefully and show your solution in each item.

#### Number of problems found: 8

- Derivation

Exists a function whose derivation is the same function? - Right-angled trapezoid

A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - 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. - Positive integer integral

How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - A particle

A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-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? - A particle 2

If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - 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 cylinder's axis. How many hectoliters of water is in the cylinder? - Truncated cone

Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r_{1}= 9.1 cm and r_{2}= 5.4 cm.

We apologize, but in this category are not a lot of examples.

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