tom123456789 tom123456789
  • 25-03-2015
  • Mathematics
contestada

Can someone PLEASE explain to me how the integral of 2cos^2(t)sin(t) dt =-(2/3)cos^3(t) ???

Respuesta :

Hippalectryon
Hippalectryon Hippalectryon
  • 25-03-2015
Do the change of variable [tex]u=\cos(t)\rightarrow du=-\sin(t)dt[/tex]

Then [tex]\int\2cos^2(t)\sin(t)dt=-2\int u^2du=-\frac{u^3}3=-\frac{2}3\cos^3(t)[/tex]
Answer Link

Otras preguntas

Any polygon with two pairs of parallel opposite sides is a parallelogram. True or False.
The retina of the eye does all of the following except_____ A. Absorb light B. Decrease visual activity C. Process images D. Send visual information to the b
Modify an array's elements using other elements write a for loop that sets each array element in bonusscores to the sum of itself and the next element, except f
is NaCH an element ? why or why not?
The model represents an equation. What value of x makes the equation true? A) −3 B) −9 C) 3 D) 9
what does g(x)=-3(x-1)^2+5 look like on a graph?
Why is it necessary to limit individual rights?
Barbara went ice skating. It cost $5.85 to rent the skates, $2.50 for nachos, and it cost $1.95 per hour to skate. If she skates for 2 1/2 hours, how much does
How many nucleotides are required to code for all of the amino acids in a protein that contains 114 amino acids?
What is the unit rate of y=0.75x