Ans. - 22.5
I've shown answer using two methods. 1) by using given resullts 2) by actually integrating it.
calculate 3x dx, given the following. 4 Calculate 3x dx, given the following. 3 Sx dx...
MAT 1314 Test 4 7. Given f(x)3x 1 if 3 sx s2. Find each of the following. (a) f-7)
3 cos(3x) I = dx 4+ sin- .1 I= 3cos(3x) -dx 4 + sin²(3x)
3. Use the u-substitution method to calculate the following indefinite Integrals a. S(x2 - 4)2x dx u= b. Sx?e**dx u= dur C. Sx sinx? dx U= dus
Use a change of variables to find the following indefinite integral. Sx²(x8 - 11) * dx What is the best choice of u for the change of variables? U= Find du. du = O dx Rewrite the given integral using this change of variables. Sx(-11)* dx=SO. du Find the indefinite integral. Sx? (28 - 11)* dx =
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
4 Calculate (8x+x?)dx, given the following. 4 5 4 61 56 xdx= 3 2 x² dx= xdx = 6 4 S (8x + x²) dx = 2 (Type an integer or a simplified fraction.)
4 (4) Evaluate S 3x²(2x°-3) dx.
Find the following indefinite integral. Sx-* 9 dx X dx=
Calculate dy/dx 4(x)= lu (x²-3x+4) y(x) = sin" (x4)
1.(3x)( Jx & Kx) 2. (x) (Jx Lx) / (3x)/(Lx & Kx) 1. (x)(5x *Tx) 2. (3x) (Sx & Ux) / (3x) (Ux &Tx) 4. 2. (x) (Nxo Mx) 3. Na /Oa 1.(3x)( Jx & Kx) 2. (x) (Jx Lx) / (3x)/(Lx & Kx) 1. (x)(5x *Tx) 2. (3x) (Sx & Ux) / (3x) (Ux &Tx) 4. 2. (x) (Nxo Mx) 3. Na /Oa