Integration Quiz 1

Evaluate the indefinite integral: ∫(3x^2 - 2x + 1) dx

• x^3 - x^2 + x + C

• 3x^3 - 2x^2 + x + C

• x^3 - x^2 + C

• 3x^3 - x^2 + x + C

Compute the definite integral: ∫ from 0 to 2 of (5x - 4) dx

• 2

• 4

• 6

• 8

Find the indefinite integral: ∫(e^x / (1 + e^x)) dx

• ln|1 + e^x| + C

• ln|e^x - 1| + C

• e^x + C

• -ln|1 + e^x| + C

Evaluate the definite integral: ∫ from 1 to e of (1/x) dx

• e

• 1

• e - 1

• 1/e

Determine the indefinite integral: ∫(sin(x)cos(x)) dx

• sin^2(x)/2 + C

• cos^2(x)/2 + C

• sin^2(x) + C

• -cos(x)sin(x) + C

Calculate the definite integral: ∫ from -1 to 1 of (x^3 - x) dx

• 0

• -2

• 2

• 1

Find the indefinite integral: ∫(2x * sqrt(x^2 + 1)) dx

• 2(x^2 + 1)^(3/2)/3 + C

• sqrt(x^2 + 1) + C

• (x^2 + 1)^(3/2) + C

• 3(x^2 + 1)^(3/2)/2 + C

Evaluate the indefinite integral: ∫(sec^2(x)) dx

• sec(x)tan(x) + C

• tan(x) + C

• sec(x) + C

• 1/tan(x) + C

Compute the definite integral: ∫ from 0 to π/2 of sin(x) dx

• 0

• 1

• π/2

• 2

Find the indefinite integral: ∫(1/(2 + 3x)) dx

• 1/3 ln|2 + 3x| + C

• ln|2 + 3x| + C

• 2/3 ln|2 + 3x| + C

• ln|3x| + C