Decide on what substitution to use, and then evaluate the given integral using a substitution.(Remember to use absolute values where appropriate.)

∫ [(x⁵− x⁴) / (5x6 − 6x5)] dx

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?

Which line is parallel to the line that passes through the points (2, –5) and (–4, 1) a. y=-x+5 b. y=-2/3x+3 c. y=2/3x-2 d. y=x+5