# Find an anti-derivative (or integral) of the following functions by the method of inspection.sin 2x

Method: To find the anti derivative of a function by inspection
Steps: 1. In this method we look for a function whose derivative is the given function. For Example: if we need to find anti derivative of x2, we know that derivative of x3 is 3x2. Therefore, the variable terms comes out to be the same.
2. After that balance out the coefficients of variables by dividing and multiplying suitable terms. From above example if [we divide x3 by 3 we will get the answer as x2. Hence, we can say that anti derivative of xis x3/3.

Now, similarly,

We know that  Therefore, the anti-derivative of sin2x is Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Fundamental Integration Formula59 mins  Interactive Quiz on Integration by Substitution47 mins  Lecture on Integration by parts55 mins  Interactive Quiz on Integration by Parts56 mins  Integration by Substitution56 mins  Lecture on some forms of integration54 mins  Lecture on integration by partial fractions62 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 