integration worksheet5

In this page we are going to see integration worksheet5 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)  x⁵ (1 + x⁶)⁷

(2)  (2Lx + m)/(Lx² + mx + n)

(3)  (4ax + 2b)/(ax² + bx + c)^10

Solution

(4)   x/√(x² + 3)

(5)  (2 x + 3) √(x² + 3 x - 5)

(6)  tan x

(7)  sec x

Solution

(8)  cos^14 x sin x

(9)  sin^5 x

(10) cos^7x

Solution

(11) (1 + tan x)/(x + log sec x)

(12)  e^m tan⁻¹x/(1+x²)

(13)  x sin⁻¹ (x²)/√(1 - x⁴)

(14)  5 (x + 1) (x + log x)⁴/x

Solution

(15)  sin (log x)/x

(16)  cot x/log sin x

(17)  sec⁴xtan x

(18)  tan³x sec x

(19) sin x/sin (x + a)

Solution

(20)  cos x/cos (x - a)

(21) √tan x/sin x cos x

(22) (log x)²/x

(23) e^(3 log x) e^x⁴

Solution

(24)  sin 2x/(a cos²x + b sin²x)

(25)  (1 - tan x)/(1 + tan x)

(26) x (L - x)^16

Solution

(27) x (x - a)^m

(28) x² (2 - x)^15

(29) sin√x/√x

Solution

(30) (x + 1)√(2 x + 3)

(31) (3 x + 5)√(2 x + 1)

(32) (x² + 1)√(x + 1)

Solution

integration worksheet5 integration worksheet5