Stepwise problems - Thu. 11:59pm

Trig power products

01

Somewhat odd power product

Compute the integral:

02

Tangent and secant both even

Compute the integral:

03

All even power product

Compute the integral:

Trig substitution

04

Trig sub

Compute the definite integral:

05

Trig sub

Compute the integral:

Regular problems - Sat. 11:59pm

Trig power products

06

All odd power product

Compute the integral:

07

Tangent and secant mixed parity

Compute the integral:

  • (a) Using .
  • (b) Using .

08

Power product with negative power

Compute the integral:

Trig substitution

09

Trig sub

Compute the integral:

10

Trig sub

Compute the integral:

Hint: complete the square and then substitute.

11

Trig sub

Compute the integral:

12

Double sub: -sub then trig sub

Compute the definite integral:

13

Trig sub for electric charge

A charged wire lies on the -axis running from to . The electric field at the point is given by:

Find the numerical value of assuming and and and .