11. (10 pts) Evaluate the following integral. 1 L.(2x+ dx (2x - 1)
[ Vx2 + 2x – 3, Evaluate the integral: (x + 1)3 "A Hint: To start, complete the square for the quantity under the square root. 5+ 4x Evaluate the integral: | J x3 + 6x2 + 5x - dx
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)
(a) Evaluate the integral ſ V1 + 2x dx. 0 1 (b) If f()dx 5 and ) FCD)dz – 3. find i f(z)dr.
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Evaluate the following integral using trigonometric substitution. dx S 3 2 (1+x²) dx S 11 2 (Type an exact answer.)
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
Evaluate the integral 5*7* (sins 2x)(cos 2x) dx by substitution method.
please help
Evaluate the integral. 2 (2x + 2)dx 3 2 Sizx+2)dx= (2x + 2)dx = (Simplify your answer.) 3
Evaluate the integral: ∫ sin5 2x cos 2x dx