Which of the following integrals requires the method of repeated integration by parts? a) the integral of the product of x and the cosine of 3 times x, dx

b) the integral of the inverse tangent of x, dx

c) the integral of the product of x squared and e raised to the 4 times x power, dx

d) the integral of the product of x and e raised to the x squared power, dx

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

ratio is 2 : 9

the answer is three

13.5 : 3