Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
Evaluate the integral sec 2(7x-2) dx Determine a change of variables from x to u. Choose the correct choice below. O A. u= sec (7x - 2) tan (7x - 2) O B. u=tan (7x-2) O c. u= sec (7x - 2) OD. u = 7x-2 Write the integral in terms of u. sec?(7x+2) dx = S du Evaluate the integral sec2(7x-2) dx = 0
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)
2. 3 9 Evaluate the integral 2. 3 9 Evaluate the integral
Use areas to evaluate the integral f(x)= 7x+ 25 - xon the following intervals. (a)(-5.0] (b)(-5.5) (a) ſ (7x+ V25-x?)ax=0 (Type an exact answer, using it as needed.)
6. Evaluate the integralſ cos3x sin x dx 7. Evaluate the integral S Vx2 + 9 dx
Find the following indefinite integral: 122* •2x² + 7x-3 -dx X-2 Find the following indefinite integral: ( (sec(2x) 2x) + tan(2x))dx
Express the integral as a limit of sums. Then evaluate the limit. $"sin TI sin 7x dx
9. Use a contour integral to evaluate the trigonometric integral. Jo 3+ 2 costat
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)