
Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Solutions for 15 integrals involving various techniques such as substitution, integration by parts, trigonometric formulas, trigonometric substitution, and partial fraction decomposition.
Typology: Quizzes
1 / 1
This page cannot be seen from the preview
Don't miss anything!
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