Make a substitution to express the integrand as a rational function and then evaluate the integral. (Use C for the constant of integration.)

∫ 2e^2x/ (e^2x +16e^x +63). dx

Step-by-step explanation:

Let consider the following algebraical substitution:

The integral is re-arranged to this form:

After doing some algebraical manipulation, the rational form of this integral is:

The solution of this integral is:

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p