Sze*2dx = 1. This is a difficult integral to compute by standard methods (there's a neat trick involving polar coordinates). a. Find the 6th degree Taylor Polynomial (T,(*)) for f(x). Hint: use the series for the exponential that we already know. b. Use it to estimate ste*dx. V 2n -1

Q: Use the substitution formula to evaluate the integral. 0 (1 + cos (5t)) sin (5t)dt

A:

Q: Find the Fourier series representation of f(x) = x x € [-n, n] Apply Parseval's formula on the given…

A:

Q: 6 (x²+1) dx S (23+3x-2)²

A:

Q: 2=7 ry=2 FRE y=0 z=0 •x=√√/4-y² x=0 1 z+1 dx dy dz

A: To find the following integral. ∫z=0z=7∫y=0y=2∫x=0x=4-y2 1z+1 dx dy dz

Q: Find the indefinite integral by making the substitution x = 9sece. √ √x²-81 X dx Select one: O a.…

A:

Q: the following exercises,

A: Given, the Fourier series of          h(x)=x2+x on the interval -π, π…

Q: f(91+ (9t + 2)²/3 dt

A:

Q: Evaluate the integral: x√1-x² dx.

A: let    M=∫01x1-x2dxwe know  (i) ∫xndx=xn+1n+1+c(ii) d dx(xn)=nxn-1

Q: 3ln(x-2) d.x. 3. Compute the integral / 5(x – 2)

A:

Q: 1) Consider the work below. Give a brief description of each step in the blank. There is one blank…

A: To evaluate an integral on an interval, we use the Fundamental Theorem of Calculus. However, we need…