Help me pls: ∫cos ³(x)sin(x)dx

Hello! :)

Use u-substitution to solve for the indefinite integral:

Allow "u" to be the expression with an exponent:

In the integral, we are missing a negative symbol (du = -sin(x)), so we can adjust the integral to accommodate this.

Substitute "u" for cos(x) and du for -sin(x):

Use the integral power rule to solve:

Add the constant "C" as this is an indefinite integral:

Substitute in the value of u (cos(x)) into the equation:

And you're done!

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

c-   36

taxicab circle radius 9 has 4(9) = 36 points