Answer to Question #37727 in Integral Calculus for wilbert

Question #37727

sin^3 x dx

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1. show that the length of the curve y=logsecx between the points x=0 and x=pi/3 is log(2+underoot3)
2. integral of cube root of sinx
3. show that the length of the curve y = log sec between the points x = 0 and x = π/3 is log(2+√3)?
4. Show that the length of the curve y = log secx between the points x = 0 and x = pi/3 is log(2+√3).
5. Integrate with respect to x: ∫ e^5x sin⁡ 3x dx a. 3e^5x/34(1/3 sin⁡ 3x-cos⁡ 3x)+c b. 3e^
6. Integrate with respect to x: ∫ x^2 e^3x dx a. e^3x/3(x^2-2x/3)+c b. e^3x/3 (x^2-2x/3+2/9)+c - ye
7. Integrate with respect to x: ∫ dx / (3 sin⁡x + 4 cos⁡x) dx a. 13 ln⁡((1+(2 tan⁡x )/2)/(4

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