# SUBSTITUTION METHOD IN INTEGRATION PRACTICE WORKSHEET

(1)  Integrate the following with respect to x

x/√1 + x2

Solution

(2)  Integrate the following with respect to x

x2/1 + x6

(3)  Integrate the following with respect to x

(ex - e-x) / (ex + e-x)

(4)  Integrate the following with respect to x

(10x9 + 10x loge10) / (10x + x10

(5)  Integrate the following with respect to x

(sin √x) / √x

Solution

(6)  Integrate the following with respect to x

cot x/log (sin x)

Solution

(7)  Integrate the following with respect to x

cosec x/log (tan (x/2))

(8)  Integrate the following with respect to x

sin 2x / (a2 + b2 sin2x)

(9)  Integrate the following with respect to x

sin-1x/√(1 - x2)

(10)  Integrate the following with respect to x

√x/(1 + √x)

(11)  Integrate the following with respect to x

1/(x log x log (log x))

Solution

(12)  Integrate the following with respect to x

α β xα - 1 e-β x^α

Solution

(13)  Integrate the following with respect to x

tan x √sec x

(14)  Integrate the following with respect to x

x (1 - x)17

(15)  Integrate the following with respect to x

sin5x cos3x

(16)  Integrate the following with respect to x

cos x/cos (x-a)

Solution

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