# SUBSTITUTION METHOD IN INTEGRATION PRACTICE WORKSHEET

## About "Substitution Method in Integration Practice Worksheet"

Substitution Method in Integration Practice Worksheets :

Here we are going to see some practice questions using substitution method.

## Substitution Method in Integration - Practice Questions

(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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WORD PROBLEMS

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Converting customary units word problems

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Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

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Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

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Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6