Answers: 1
![\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C](/tpl/images/0089/9813/35190.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 19:30, isabelgarcia188
∆red ≅ ∆ by rule will give brainiest if possible
Answers: 2
Mathematics, 21.06.2019 21:00, ayoismeisalex
Me! i will mark brainliest! i don't get polynomials and all that other stuff. so this question is really hard. multiply and simplify.(x - 4) (x^2 – 5x – 6)show your
Answers: 2
Mathematics, 22.06.2019 02:30, jenaycasmall
Iwill give brainliest. give accurate answer, . suppose tommy walks from his home at (0, 0) to the mall at (0, 5), and then walks to a movie theater at (6, 5). after leaving the theater tommy walks to the store at (6, 0) before returning home. if each grid square represents one block, how many blocks does he walk?
Answers: 2
Do you know the correct answer?
Integration of sin^2 2x cos^3 2x dx...
Questions in other subjects:
Arts, 18.01.2021 23:00
English, 18.01.2021 23:00
Mathematics, 18.01.2021 23:00
Mathematics, 18.01.2021 23:00
Mathematics, 18.01.2021 23:00
