The trick here is to use an appropriate substitution. Let u=a^3.
Then du/da=3a^2, and du=3a^2da.
We can now make two key substitutions: In (3a^2)da/(1+a^6), replace 3a^2 by du and a^6 by u^2.
Then we have the integral of du/(1+u^2).
Integrating, we get arctan u + c. Substituting a^3 for u, the final result (the integral in question) is arctan a^3 + c.
Check this by differentiation. if you find the derivative with respect to a of arctan a^3 + c, you MUST obtain the result 3a^2/(1+a^6).
Answer:
AC = 10 cm
Step-by-step explanation:
We are givne with a triangle ABC is an equilateral triangle with side AB, BC, and AC. We are given that side BC is equal to 10 cm . We are required to find the measurement of side AC.
The basic property of any equilateral triangle is that all the sides are equal. Hence
AB = BC = CA
BC=10 cm
Hence, AB = 10 cm and also AC=10 cm
Answer:
The answer is d or f(9)-f(2)/9-2
Answer:
the two coefficients are 2/3 and -1/6
the sum of the expressions are =
1
/2
q−r+
−3
/4
Step-by-step explanation:
