devyy The integral of the function 1/(1+x2) is a classic result in calculus. To find this integral, we can denote it as follows: ∫ (1/(1+x2)) dx This integral is associated with the arctangent function. Thus, the solution is: ∫ (1/(1+x2)) dx = arctan(x) + C Where C is the constant of integration. The reason this integral … Read more
To convert the mixed number 2 3/4 into a decimal, we start by separating the integer part from the fraction. The integer part is 2, and the fraction is 3/4. First, we convert the fraction to a decimal. To do this, we divide the numerator 3 by the denominator 4: 3 ÷ 4. This calculation … Read more
To determine what percentage 1 out of 6 represents, we can use a simple formula. The formula for calculating percentage is: Percentage = (Part / Whole) * 100 In this case, the part is 1, and the whole is 6. Substituting these values into the formula gives us: Percentage = (1 / 6) * 100 … Read more
The base unit for volume in the metric system is the liter, denoted by the symbol L. The liter is used to quantify the space that a substance (solid, liquid, or gas) occupies. To give you a better understanding, a liter is equivalent to 1,000 cubic centimeters (cm³) or about 33.8 fluid ounces. It’s a … Read more
The number 1120 is already in its integer form. However, if we want to express it as a decimal, we can do so by adding a decimal point followed by zeros. Therefore, 1120 as a decimal is 1120.0. In the decimal system, integers can be represented with or without a decimal point. When a decimal … Read more
In mathematics, a line over a letter—often referred to as a vinculum—serves several important purposes depending on the context in which it is used. Below are some interpretations of what a line over a letter signifies: Repeating Decimals: When a line appears over a digit or a group of digits, it indicates that the number … Read more
Half of 38 is calculated by dividing 38 by 2. When you perform this operation, you get: 38 divided by 2 equals 19. So, the result is: 19. In simple terms, if you were to split 38 into two equal parts, each part would be 19. This can be helpful in various situations, such as … Read more
The fraction 2 1/8 can be converted to its decimal form through a couple of steps. Let’s break it down. First, we need to understand that the whole number part is 2. Next, we need to convert the fractional part, which is 1/8, into its decimal equivalent. To do this, we can divide 1 by … Read more
To convert millimeters to centimeters, you can use a simple conversion factor. Since there are 10 millimeters in a centimeter, you can divide the number of millimeters by 10. For your specific question, to convert 25 millimeters to centimeters: Take the millimeter value: 25 mm Divide by 10 to get the equivalent in centimeters: 25 … Read more
To calculate 20 percent of 1200, you can use a simple mathematical formula. First, convert the percentage into a decimal. To do this, divide 20 by 100: 20 ÷ 100 = 0.20 Now, multiply this decimal by 1200: 0.20 × 1200 = 240 Therefore, 20 percent of 1200 is 240. This calculation can be useful … Read more