integration worksheet6

In this page we are going to see integration worksheet6 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) ∫ x e^-x dx

(2) ∫ x cos x dx

(3) ∫ x cosec ²x dx

(4) ∫ x sec x tan x dx



Solution

(5) ∫ tan⁻ ¹ x dx

(6) ∫ x tan ² x dx

Solution

(7) ∫ x cos ² x dx

(8) ∫ x cos 5 x cos 2 x dx

Solution

(9) ∫ 2 x e ^(3 x) dx

(10) ∫ x² e ^(2 x) dx

(11) ∫ x² cos 3 x dx


Solution

(12) ∫ sin⁻ ¹ x e^sin⁻ ¹ x/√(1 - x²) dx

(13) ∫ x⁵ e^x²  dx

Solution

(14) ∫ tan⁻¹ [(3 x - x³)/(1 - 3 x²)] dx

(15) ∫ x sin⁻¹ (x²) dx

Solution

(16) ∫cosec³ x  dx

(17) ∫ e^ax cos bx dx

Solution

(18) ∫ e^2x sin 3 x dx

(19) ∫ e^x cos 2 x dx

(20) ∫ e^3x sin 2 x dx

(21) ∫ sec³ 2 x dx

(22) ∫ e^4x cos 5 x sin 2 x dx

(23) ∫ e^-3x cos³ x dx