integration worksheet2

In this page we are going to see integration worksheet2 we are going to see some practice questions. For each question you can find solution.

Questions

Solution

(1) Integrate the following with respect to x

 (i) x ⁴ dx

(ii) (x + 3) ⁵ dx

(iii) (3 x + 4) ⁶ dx

(iv) (4 - 3 x) ⁷ dx

(v) (L x + m) ⁸ dx




Solution


(2)  Integrate the following with respect to x

(i) 1/x⁶ dx

(ii) 1/ (x + 5) ⁴ dx

(iii) 1/(2 x + 3) ⁵ dx

(iv) 1/(4 - 5 x) ⁷ dx

(v) 1/(a x + b)⁸ dx




Solution


(3) Integrate the following with respect to x

(i) 1/(x + 2)

(ii) 1/(3 x + 2)

(iii) 1/(3 - 4 x)

(iv) 1/(p + q x)

(v) 1/(s - t x)




Solution


(4) Integrate the following with respect to x

(i) sin (x + 3)

(ii) sin (2 x + 4)

(iii) sin (3 - 4 x)

(iv) cos (4 x + 5)

(v) cos (5 - 2 x)




Solution


(5) Integrate the following with respect to x

(i) sec² (2 - x)

(ii) cosec² (5 + 2 x)

(iii) Sec² (3 + 4 x)

(iv) cosec² (7 - 11 x)

(v) sec² (p - q x)




Solution


(6) Integrate the following with respect to x

(i) sec (3 + x) tan (3 + x)

(ii) sec (3 x + 4) tan (3 x + 4)

(iii) sec (4 - x) tan (4 - x)

(iv) sec (4 - 3 x) tan (4 - 3 x)

(v) sec (a x + b) tan (a x + b)




Solution


(7) Integrate the following with respect to x

(i) cosec (2 - x) cot (2 - x)

(ii) cosec (4 x + 2) cot (4 x + 2)

(iii) cosec (3 - 2 x) cot (3 - 2 x)

(iv) cosec (L x + m) cot (L x + m)

(v) cot (s - t x) cosec (s - t x)




Solution


(8) Integrate the following with respect to x

(i) e^(3x)

(ii) e^(x + 3)

(iii) e^(3 x + 2)

(iv) e^(5 - 4 x)

(v) e^(a x + b)




Solution


(9) Integrate the following with respect to x

(i) 1/cos² (px + a)

(ii) 1/sin² (L - m x)

(iii) (a x +b)⁻⁸

(iv) (3 - 2 x)⁻¹

(v) e^-x




Solution


(10) Integrate the following with respect to x

(i) tan (3 - 4 x)/cos (3 - 4 x)

(ii) 1/e^(p + q x)

(iii) 1/tan (2 x + 3) sin (2 x + 3)

(iv) (L x + m) ^(1/2)

(v) √(4 - 5 x)




Solution


integration worksheet2 integration worksheet2