INDEFINITE INTEGRAL PRACTICE WORKSHEET

(1)  Integrate the following with respect to x

∫ [(x + 4)⁵ + 5/(2 - 5x)⁴ - cosec²(3x - 1)] dx

Solution

(2)  Integrate the following with respect to x

∫ [4 cos (5-2x) + 9e^3x-6 + 24/(6-4x)] dx

Solution

(3)  Integrate the following with respect to x

∫ [sec²(x/5) + 18 cos 2x  + 10 sec (5x + 3) tan (5x + 3)] dx

Solution

(4)  Integrate the following with respect to x

∫ [8/√(1 - (4x)²) + 27/√(1 - 9x²) - 15/(1+25x²)] dx

Solution

(5)  Integrate the following with respect to x

∫ [6/(1 + (3x + 2)²)] - [12/√1 - (3-4x)²] dx

Solution

(6)  Integrate the following with respect to x

∫ (1/3) cos ((x/3) - 4)) + 7/(7x+9) + e^{(x/5) + 3} dx

Solution

(7)  Integrate the following with respect to x

∫ (x + 5)⁶ dx        Solution

(8)  Integrate the following with respect to x

∫ 1/(2 - 3x)⁴ dx       Solution

(9)  Integrate the following with respect to x

∫ √(3x + 2) dx       Solution

(10)  Integrate the following with respect to x

∫ sin 3x dx       Solution

(11)  Integrate the following with respect to x

∫ cos (5 - 11x) dx       Solution

(12)  Integrate the following with respect to x

∫ cosec²(5x - 7) dx       Solution

(13)  Integrate the following with respect to x

∫ e^{3x- 6} dx       Solution

(14)  Integrate the following with respect to x

∫ e^{8 - 7x} dx       Solution

(15)  Integrate the following with respect to x

∫ 1/(6 - 4x) dx       Solution

(16)  Integrate the following with respect to x

∫ sec² x/5 dx       Solution

(17)  Integrate the following with respect to x

∫ cosec (5x + 3) cot (5x + 3) dx       Solution

(18)  Integrate the following with respect to x

∫ 30 sec (2 - 15x) tan (2 - 15x) dx       Solution

(19)  Integrate the following with respect to x

∫ 1/√(1 - (4x)²) dx       Solution

(20)  Integrate the following with respect to x

∫ 1/√(1 - 81x²) dx       Solution

(21)  Integrate the following with respect to x

∫ 1/(1 + 36x²) dx       Solution

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