Evaluate the indefinite integral: \int \sec^{2}x\tan^{4}xdx

vomiderawo 2021-11-22 Answered
Evaluate the indefinite integral:
sec2xtan4xdx
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Symbee
Answered 2021-11-23 Author has 17 answers
Step 1
Evaluate the indefinite integral.
sec2xtan4xdx
Let tan(x)=t
sec2(x)dx=dt
Step 2
sec2(x)tan4(x)dx=t4dt
=t55+c
=tan5(x)5+c
Not exactly what you’re looking for?
Ask My Question
Mary Ramirez
Answered 2021-11-24 Author has 19 answers
Step 1: Use Integration by Substitution.
Let u=tanx,du=sec2xdx
Step 2: Using u and du above, rewrite sec2xtan4xdx.
u4du
Step 3: Use Power Rule: xndx=xn+1n+1+C.
u55
Step 4: Substitute u=tanx back into the original integral.
tan5x5
Step 5: Add constant.
tan5x5+C
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more