Question
Evaluate the indefinite integrals in Exercises $1-16$ by using the givensubstitutions to reduce the integrals to standard form.$$\int 2(2 x+4)^{5} d x, \quad u=2 x+4$$
Step 1
This is done by taking the derivative of $u$ with respect to $x$, which gives us $du = 2 dx$. Show more…
Show all steps
Your feedback will help us improve your experience
Willis James and 79 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Evaluate the indefinite integrals in Exercises $1-16$ by using the given substitutions to reduce the integrals to standard form. $$\int 2 x\left(x^{2}+5\right)^{-4} d x, \quad u=x^{2}+5$$
Integrals
Indefinite Integrals and the Substitution Method
Evaluate the indefinite integrals in Exercises $1-16$ by using the given substitutions to reduce the integrals to standard form. $$ \int \frac{4 x^{3}}{\left(x^{4}+1\right)^{2}} d x, u=x^{4}+1 $$
Evaluate the indefinite integrals in Exercises $1-16$ by using the given substitutions to reduce the integrals to standard form. $$ \int(3 x+2)\left(3 x^{2}+4 x\right)^{4} d x, \quad u=3 x^{2}+4 x $$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD