# What is the integral of sec 2x * tan 2x dx?

Answer: We are asked to determine the integral of sec 2x tan 2x dx
sec 2x is equivalent to 1/cos2x while tan 2x is equal to sin 2x/cos 2x
In this case, the expression becomes sin 2x/ cos^2 2x

We use cos 2x as u so the du is equal to -2 sin 2x dx
The equation then becomes
-1/2∫1/u^2 du
=0.5/cos 2x + c = 0.5 sec 2x + c, where c is a constant

## Related Questions

8 is what percent of 64

8 is equivalent to 12.5% of 64.

What is percentage?

In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is one of the ways to represent a dimensionless relationship between two numbers.

Given is to find 8 is what percent of 64.

Let 8 is {x}% what percent of 64.

So, we can write -

8 = {x}% of 64

8 = {x/100} x 64

{x} = 800/64

{x} = 100/8

{x} = 25/2

{x} = 12.5%

Therefore, 8 is equivalent to 12.5% of 64.

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percent of 64 is 8 means number/100 * 64 = 8.n/100 * 64 = 8n/100 = 8/64n = 8*100/64 = 25/2 = 12.58 is 12.5% of 64

Nisha won 121 lollipops playing basketball at her school’s game night. Later , she gave four to each of her friends. She only has 9 remaining. How many friends does she have?

Step-by-step explanation:

121-9(the amount she had left) =112/4=28.

equation: 121-9=112/4=28.

118

Step-by-step explanation:

Adam Smith received a \$875 discount loan to purchase an entertainment center. The loan was offered at 10.5% for 120 days. Find the interest in dollars and the proceeds for the following problem.

Interest = \$ 30.59

Proceedings = \$ 844.41

Step-by-step explanation:

Principal = \$875

Rate of Interest (r) = 10.5%

Time(t) = 120 days = 0.33 years

n = number of times the interest rate is compounded in one year

⇒ n = 12

Now, Interest = Compound Interest - Principal

⇒ Interest = 905.59 - 875

= \$ 30.59

And the proceedings are = Principal - Interest

= 875 - 30.59

= \$ 844.41

interest - \$30.63

proceeds-\$844.37

Function f(x) represents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent?