Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Integration Worksheet 1411: Solutions for 15 Integrals, Quizzes of Calculus

Solutions for 15 integrals involving various techniques such as substitution, integration by parts, trigonometric formulas, trigonometric substitution, and partial fraction decomposition.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

koofers-user-a2h
koofers-user-a2h 🇺🇸

10 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Math 1411 Worksheet 5
Compute the following integral. They might involve no particular method, or substitution,
or integration by parts, or various trig formulas, or trig. substitution, or partial fraction
decomposition.
1. Rxsin(x)dx
2. Rt2etdt
3. Rexcos(x)dx
4. Rarctan(x)dx
5. Rsin5(x) cos2(x)dx
6. Rcos3(x)dx
7. Rπ
0sin2(x)dx
8. R9x2
x2dx
9. R1
x2x2+4 dx
10. Rx
x2+4 dx
11. R1
x29dx
12. R4x
x3x2x+1 dx
13. R2x2
x+4
x3+4xdx
14. R6x2
4x+2
x3x2+xdx
15. Rx
1+x2dx
16. Rx2
1+x2dx
17. Rx2
1x2dx
18. Rx+4
xdx (hard - as a hint, try u=x+ 4

Partial preview of the text

Download Integration Worksheet 1411: Solutions for 15 Integrals and more Quizzes Calculus in PDF only on Docsity!

Math 1411 Worksheet 5

Compute the following integral. They might involve no particular method, or substitution,

or integration by parts, or various trig formulas, or trig. substitution, or partial fraction

decomposition.

∫ x sin(x)dx

∫ t^2 etdt

∫ ex^ cos(x)dx

∫ arctan(x)dx

∫ sin^5 (x) cos^2 (x)dx

∫ cos^3 (x)dx

∫ (^) π 0 sin

2 (x)dx

∫ √ 9 −x 2 x^2 dx

∫ (^1)

x^2

√ x^2 +

dx

∫ (^) x √ x^2 +

dx

∫ (^1) x^2 − 9 dx

∫ (^4) x x^3 −x^2 −x+1 dx

∫ (^2) x (^2) −x+ x^3 +4x

dx

∫ (^6) x (^2) − 4 x+ x^3 −x^2 +x dx

∫ (^) x 1+x^2 dx

∫ (^) x 2 1+x^2 dx

∫ (^) x 2 1 −x^2 dx

∫ √x+ x

dx (hard - as a hint, try u =

x + 4