help? integral

Question

Answer 1

(1)

Step 1 :

The integral is .

The definite integral is the limit of a sequence of Reimann sums. It is usually easiest to write out the formula using right end points.

Integral as summation is defined as where .

In this case :

.

,

,

, ...........

Thus, .

The Riemann sum is .

.

Taking the limit of as gives us the exact value of the integral.

Solution:

.

Answer 2

(2)

Step 1 :

The integral is .

Integral as summation is defined as , where .

In this case :

.

,

,

...........

Thus, .

The Riemann sum is .

.

Taking the limit of as gives us the exact value of the integral.

Solution:

.