# INDEFINITE INTEGRAL PRACTICE WORKSHEET

(1)  Integrate the following with respect to x

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

Solution

(2)  Integrate the following with respect to x

∫ [4 cos (5-2x) + 9e3x-6 + 24/(6-4x)] dx

(3)  Integrate the following with respect to x

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

(4)  Integrate the following with respect to x

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

(5)  Integrate the following with respect to x

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

(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)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

e3x- 6 dx       Solution

(14)  Integrate the following with respect to x

e8 - 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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