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00. 11 dx JO V x + sin x (T/6 50. cos+ 3x dx 52. tan^ 2u du
Question 8 sin (3-3) Find the limit lime-1 i(t) where F(t) = (+3, , ezt). t-1 None of the above or below (1, - 2, e) 0 (1, 1, e²) O (1,0, e?) O (1,0, e) (1,3, e) - Previous
Evaluate the iterated integral sin x dx dy. Jo Jy
lime (++)*2 10 lim (cosk) 3/2 xoo use IBP to integrate x Sin (5x) dx x sin (25x) dx
Evaluate the integral. 5 cost 3x dx 15 5 5 0 5x+7 sin 6x + 32 sin 12x + C 15 5 O Š x + 12 sin 6x + sin 12x + C 5. Tx+ 12 sin 3x + sin 12x + C 15 5 5 Tx+ 12 sin 3x + 56 sin 6x + C
Jo (2-x) dx 12. (3pts) Let f(t) be a continuous function. Find the derivative of y = f(x).Sh(t) dt. 12
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
The question is, evaluate the following integral.
1+x2+22 43. dy dx dz Jo Jo
8. Find the integral. (ə) ſ 12+ sin(t?) dx wo Site © S **789 dx (d) e2x V1 – 22x dx
1 23 sin(43) dy dx by reversing the order of Evaluate Jo JC2 integration (1 –cos(1) ]](1+cos(1) (1 – cos(1) *] (1 – cos(1) (1+cos(1)