Determine the following indefinite integral. check your work by differentiation ( Use C as the arbitrary constant)

**Question 1**

**Question 2**

**Question 3**

**Answer to question 1**

Here is the answer

**Answer to question 2**

How to solve it? You should apply the substitution method.

∫(x3+5x)(x4+10×2+9)9dx∫(x3+5x)(x4+10×2+9)9dx

Done!

**Answer to question 3**

Step 1

In this question we will use basic of calculus i.s concept of integration and differentiation.

We will simply integrate the given function by using standard integration then to check integration we will differentiate the integrated function if we get the same expression as that is given in question then our integration is correct.

Solution of the above question is in the step below.

Step 2

Step 3