Integration Quiz

What is the formula for definite integration?

• ∫(a, b) f(x)

• ∫[a, b] f(x) dx

• ∫(a, b) f(x) dx

• ∫[a, b] f(x)

Evaluate the definite integral: ∫(2x + 3) dx from 1 to 5.

• 10

• 20

• 30

• 36

What is the antiderivative of 3x^2?

• (1/6)x^3

• (1/3)x^3

• (1/4)x^3

• (1/2)x^3

Evaluate the indefinite integral: ∫(4x^3 + 2x - 5) dx.

• 4x^4 + x^2 - 5x + C

• 4x^2 + x - 5x + C

• x^4 + x^2 - 5x + C

• 4x^3 + 2x + 5x + C

What is the power rule for integration?

• (1/n) * x^n + C

• (n+1) * x^(n+1) + C

• (1/n) * x^(n+1) + C

• (1/(n+1)) * x^(n+1) + C

Evaluate the definite integral: ∫(sin(x) + cos(x)) dx from 0 to π/2.

• 0

• 1

• π/2

• 2

What is the antiderivative of e^x?

• e^x + C

• e^x - C

• e^x

• C

Evaluate the indefinite integral: ∫(5/x) dx.

• 5*ln|x| + C

• 5*ln(5x) + C

• 5/x + C

• 5*ln(x) + C

What is the substitution rule for integration?

• The substitution rule for integration is substitution by parts.

• The substitution rule for integration is substitution by fractions.

• The substitution rule for integration is substitution by exponents.

• The substitution rule for integration is u-substitution.

Evaluate the definite integral: ∫(2x^2 + 3x + 1) dx from -1 to 1.

• 47/6

• 5/6

• 11/6

• -47/6