Question

Use the definition of the definite integral to evaluate Integral from 2 to 6 left parenthesis x squared minus 4 right parenthesis dx.

Answer #1

Evaluate the definite integral by the limit definition
(Riemann’s sums). definite integral 6 to 1 (?^2+2)??

Evaluate the integral using trig substitution.
definite integral from 1 to sqrt(2) 6 / (x^2 sqrt(4-x^2))dx
(a) write the definition for x using the triangle
(b) write the new integral before any simplification
(c) write the new integral after simplifying and in the form ready
to integrate
(d) write the solution in simplified exact form
write all answers next to the specified letter above

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

Match the following equation with its graph.
left parenthesis x minus 4 right parenthesis squared plus left
parenthesis y minus 3 right parenthesis squared equals
36(x−4)2+(y−3)2=36
Choose the correct graph below.
A.
-157-715xy
A coordinate system has a horizontal x-axis labeled from
negative 15 to 7 in increments of 1 and a vertical y-axis labeled
from negative 7 to 15 in increments of 1. A circle has center
(negative 4, 3) and radius 6.
B.
-157-157xy
A coordinate system has...

Evaluate definite integral (0 to pi/2) secxtanx-sec^2(x) dx

Estimate the minimum number of subintervals to approximate the
value of Integral from negative 2 to 2 left parenthesis 4 x squared
plus 6 right parenthesis dx with an error of magnitude less than 4
times 10 Superscript negative 4 using a. the error estimate formula
for the Trapezoidal Rule. b. the error estimate formula for
Simpson's Rule.

integral subscript C left parenthesis 12 x plus 6 y right
parenthesis d s Where C is the line segment from (3,-2) to
(6,-6)

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

Use a power series to approximate the definite integral to 4
decimal places: from 0 to 1/2 (x^2)(e^(-x^2) dx. Find power series
of e^-x^2. and the value of the integral (how many terms
needed)

Evaluate the definite integral. Use a graphing utility to verify
your result. (Round your answer to three decimal places.)
5
7
9x + 1
0
dx

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