Exercise is mixed —some require integration by parts, while others can be integrated by using techniques discussed in the chapter on integration.
∫^1_0 x^3/√3+x^2 dx.

Step-by-step explanation:

Use Integration by Substitution:

For the integrand , substitute:

Also, remember to evaluate the new integration limits:

Lower limit:

Upper limit:

So:

Now, do a new substitution for the integrand :

Again, this gives us a new lower limit and a new upper limit:

Lower limit:

Upper limit:

Express as

Now, integrate the sum term by term and factor out constants:

Finally, apply the fundamental theorem of calculus:

0.6

39mph

step-by-step explanation: