### Indefinite integral

Please show in detail how to solve the following indefinite integral. Thank you. ∫sin^3(x)cos^19(x)dx

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

Please show in detail how to solve the following indefinite integral. Thank you. ∫sin^3(x)cos^19(x)dx

Please show in detail how to solve the following indefinite integral. integral (x^2/(sqrt(16-x^2))dx Please see attachment for proper formatting.

Integraiton - (4)  e^-x dx ... [See attached file for equations.]

See attachment for equation

Please can you go over these 9 problems and show full detail and explanation for each. (see attached)

Find antideerivatives and Integrals. ... [See the attached questions file.]

1. true or false the area of the region by y=x, y=1/x, x=2 is 3/2-ln(2) 2. find the area of the region bounded by y=-x^2+6x y=-x+6

Please show all steps Thank you 1) Divide 2x6 - x4 -3x2 + 7 by (x - 2). What is the sum of the remainder and the x^4 coefficient of the result? 2) Integrate: 2x(x2 + 3)4dx

1) a) Write a function in Mathematica that defines f(x) = (e^(−(x−a)2 ))((x − a)2 − (x − a)3) " (a is a parameter) both in standard format and in pure functional format. Call the traditional form, ftrad, and the the pure form, fpure. Test both cases to make sure they return the same answer for

Calculate per series the integral....(see attached)

See the attached file for full description. 26. Evaluate the triple integral, where E is bounded by the planes y = 0, z = 0, x + y = 2 and the cylinder y^2 + z^2 =1 in the first octant. Find the volume of the given solid 30. Under the surface z = x^2y and above triangle in the xy-plane with vertices (1, 0), (2, 1), and (4

Double and triple integration problems attached.

See attached Evaluate the integrals.... Show, using binomial expansion, that ....

Solve the attached differential equation by numerical integration.

Step by step detailed solution is provided to explain the concept of integration by substitution.

Prove the sides are equal. See attachment.

Integration of sin^2(2x)dx Please show all parts of the solution.

Integration of 3x+4/(x^2+4)(3-x) Is this an integration by parts? If yes, show me the integration.

Integration of x/3-x

Definite integrals - Find the area enclosed between the curves in the following ... (See the Attached Questions File)

Find the greatest common factor for the following group of numbers: 24, 36, 48 A rectangular picture window is 5ft by 8ft. Polly wants to put a trim molding around the window. How many feet of molding should she buy? (Can you draw a picture?) Write the following in standard form of a number (Hint: use a number char

Please see attached 1) To find the general integral of the differential equation , discuss existence et uniqueness and find the particular integral that passes for the point (1;5/2) 2) Considering the linear equation of the 2nd order z'' - (2/x) z' + (2/ x2)z = 10 / x2 , x >

See attachment 1. Prove the Cauchy condensation criterion 2. Which of the following series is convergent (justify your answer!).

Integration problems - (Please see the attached file.)

Please see the attached file. I think this needs to be evaluated using u-substitution.

Definite Integrals - Work out the given definite integrals. (See the attached questions file)

Work out the antiderivatives shown in the attached file.

See attachment Use Newton's interpolating polynomial to approximate the function: f (x) = e^ (-ax2) a = 1.1125 Construct approximation using the values f (x) at x= -2, -1, 0, 1, 2. Call this approximation N(x). ii) Compute the value of the integral accurate to 1 decimal place. iii) Compute sufficient

See attachment for fomatting 1 Evaluate 3∫1 1-∫-2 (x2y-2xy3)dydx 2 Correctly reverse the order of integration, then evaluate 1∫0 1∫y xeydxdy 3 The plane region R is bounded by the graphs of y=x and y=x2 . Find the volume over R and beneath the graph of f(x, y) = x + y. 4 Find t

I have a defined curve with an associated 2nd order polynomial equation. I want to understand how to calculate the area under the curve as I have it denoted on the attached pdf file. Also is the integration relative to the x,y limits I have shown.....or is it truly the total area under the curve relative to the x-axis????