Question

f is an integral from 0 to x^2

x*sin(pi*x)

for x > 0

calculate f(35)

Answer #1

Calculate the double integral.
R 9x sin(x + y) dA, R = (0, pi/6) x (0,pi/3)

Calculate the Fourier Series S(x) of f(x) = sin(x/2), -pi < x
< pi. What is S(pi) = ?

Estimate the area under graph f(x) = sin(x) from x = 0 to x =
pi/2. Using 4 sub-intervals and the left endpoints. Sketch the
graph and the rectangles.

if f''(x)= -cos(x)+sin(x), and f(0)=1 and f(pi)=), what is the
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y=Integral from 0 to cosine(x) dt/√1+ t^2 ,
0<x<pi
b). Find dy/dx for tthe following integral
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(sin(1/2)pi x) from 0 to1 by 2 decimal places with h = 1, h = 0.5,
h = 0.25, and estimate the error for h = 0.5 and h = 0.25 by 5
decimal places

use residues to evaluate the definite integral
integral (0 to 2 pi) ( d theta/ ( 5 +4 sin theta))

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with center a=1

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dr, where C consists of two line segments, which go from (0, 0) to
(2, 2), and then from (2, 2) to (0, 2).

(1 point) Let F(x)=∫o,x sin(6t^2) dt F(x)=∫0xsin(6t^2) dt. The
integrals go from 0 to x
Find the MacLaurin polynomial of degree 7 for F(x)F(x).
Use this polynomial to estimate the value of ∫0, .790 sin(6x^2) dx
∫0, 0.79 sin(6x^2) dx. the integral go from 0 to .790

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