Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx = x²x-nf x^²-¹² dx xex ex ¹e* U = dv du = = V = dx dx

Q: x + 5 dx 0. 6.

A: Question from definite integration.

Q: Integrate 1/(1+x(1/2)) dx

A: Consider the given integral ∫11+xdx. Integrate the given integral with respect to x as follows.…

Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: Differentiate. y = Jex +8 dy dx

A: The given equation is y=ex+8 To find: dydx

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

A:

Q: dx 5. S- (4x – x2)°/2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find ∫√(2x − 1) dx.

A: Given:

Q: dx V (1+ Vx)

A: Since you have asked multiple questions, according to our company guidelines we are supposed to…

Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

A:

Q: 1/2 (1 - 2x) dx + (1 J1/2 - 2x) de = 22.5 2x dx=

A: To evaluate the following integral.∫-42 1-2x dx=∫-4121-2x dx+∫122 1-2x dx=?

Q: Vx³ Inx dx In x dx 1

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: Solve S 1 (4x² - 9) ³/2 dx using trig sub and solve

A:

Q: evaluate 1/(2x(x2-9)1/2 )dx    and what method did you use

A:

Q: c2 1 dx x² +1 4. e* + 0.

A:

Q: 1/2 4 dx VI - x

A:

Q: I11 = +∞ -X e-* sin(2x) dx

A: