Write the integral in terms of u and du. Then evaluate. x(x + 1)5 dx, u = x + 1 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) x(x + 1)15 dx =

Q: Multiple and simplify    6y²/14 xy      •    7xy/4x²

A: Multiplication of ( 6y²/14 xy ) and ( 7xy/4x² ). ( 6y²/14 xy ) × ( 7xy/4x² ) = {(6y²) × ( 7xy)}/…

Q: 2. (cax-6)*dx

A:

Q: Vx dx Va³ – x3

A: see 2nd ,3rd and 4th step.

Q: xdx 2. 3-x

A:

Q: In a large clinical trial, 400,674 children were randomly assigned to two groups. The treatment…

A: Given that, The values of p1^ and q1^ is,

Q: If possible, write 1 5x + 5æ? as a linear combination of æ – x2, 2x – x? and 1+ x. Otherwise, enter…

A:

Q: dx 9x-1

A:

Q: Vx – 2x2 dx. Evaluate 1

A:

Q: (a) Prove that for all n 2 0, Eo fi = fn+2-1 where fi-1 is the th Fibonacci number.

A: Fibonacci sequence

Q: Evaluate xe2+ dx. *xP x

A:

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: Let X and Y be the number of tables and chairs in an office. p(x, y) of X and Y is given in the…

A: From the given information, the joint density for X and Y is,   y=0 y=1 y=2 y=3 x=1 0.05 0.06…

Q: Evaluate. j(x) =7 and j(x) = -7

A: Simply equate the both equations and solve for x.

Q: 8x2+4 x 3+ 2x+2

A: The given integral is:

Q: Evaluate. 1 3. 2x + 2x2 dx 0.

A:

Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows