Chapter 8 : Integration

Evaluate the integral ∫ 3x² dx

• x³ + C

• 3x³ + C

• x³ + 3C

• x³ + 3x + C

Find the integral of ∫ 5x dx

Determine ∫ 4x³ dx

• x⁴ + C

• x⁴

• x⁴ + 4C

• x⁴ + 4

Evaluate ∫ 2x + 1 dx

• x² + x + C

• x² + x

• x² + 2x + C

• x² + 2x

Find the area under the curve y = 2x from x = 0 to x = 3.

• 6

• 9

• 3

• 12

Determine the area under the curve y = x² from x = 1 to x = 2.

• 3

• 2

Find the volume of the solid generated by rotating the region under

y = x from x = 0 to x = 2 about the x-axis

Calculate the area between the curves y = x and y = x² from x = 0 to x = 1.

Determine the volume of the solid generated by rotating the region between

y = 1 and y = x from x = 0 to x = 1 about the y-axis.

Evaluate ∫ (3x² − 4x + 5) dx.

• x³ − 2x² + 5x + C

• x³ − 2x² + 5x

• x³ − 2x² + 5x + 5

• 3x³ − 4x² + 5x + C