# Calculus 2 : Definite Integrals

## Example Questions

### Example Question #31 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #32 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #33 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #34 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #35 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #36 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #37 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #38 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #39 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative:

### Example Question #40 : Definite Integrals

Evaluate this integral.

Explanation:

In order to evaluate this integral, first find the antiderivative of

In this case, .

The antiderivative is  .

Using the Fundamental Theorem of Calculus, evaluate the integral using the antiderivative: