integration worksheet4

In this page we are going to see integration worksheet4 we are going to see some practice questions. For each question you can find solution.

Questions

Solution

Integrate the following with respect to x

(1)  (2 x - 5) (36 + 4 x)

(2)  (1 + x³)²

(3)  (x³ + 4 x² - 3 x + 2)/x²



Solution

(4)  (x⁴ - x² + 2)/(x + 1)

(5)  (1 + x)²/√x

(6) (e^2x + e^-2x + 2)/e^x

(7)  sin² 3 x + 4 cos 4 x



Solution

(8)  cos² 2 x- sin 6 x

(9)  1/(1+sin x)

(10) 1/(1 - cos x)

(11)  √(1 - sin2x)



Solution

(12)  √(1 + cos 2 x)

(13) 1/(sin²x cos²x)

(14) sin²x/(1+cos x)

(15) sin 7 x cos 5 x

(16) cos 3 x cos x




Solution

(17) cos 2 x sin 4 x

(18) sin 10 x sin 2x

(19) (1 + cos 2x)/sin² 2 x 

(20) (e^x - 1)² e^(-4 x)



Solution

(21) e^(x log a) e^x

(22) (1 - sin x)/(1 + sin x)

(23) [√x + (1/√x)]²

(24) sin m x cos n x



Solution

(25) cos p x cos q x

(26) cos² 5 x sin 10 x

(27) 1/[√(x + 1) - √(x - 2)]



Solution

(28) 1/[√(ax + b) - √(ax + c)]

(29) (x + 1) √(x + 3)

(30) (x - 4) √(x + 7)


Solution

(31) (2 x + 1) √(2 x + 3)

(32) (x + 1)/[(x + 2) (x + 3)]

(33) (x² + 1)/[(x - 2)(x + 2)(x² + 9)]


Solution

integration worksheet4 integration worksheet4