# Class 12 RD Sharma Solutions- Chapter 19 Indefinite Integrals – Exercise 19.7

### Question 1. ∫sin4x cos7x dx

Solution:

Let I= We know, Applying this formula to the given question we get

I=  =  = We know, Applying this formula to the given question we get

I=  I= ### Question 2. ∫ cos3x cos4x dx

Solution:

Let I= Multiplying and dividing the equation by 2,we get

I= We know, Applying this formula to the given question we get

I= =  We know, and Applying these formulas to the given question we get

I=  I= ### Question 3. ∫cosmx cosnx dx, m≠​n

Solution:

Let I= Multiplying and dividing the equation by 2,we get

I= We know, Applying this formula to the given question we get

I= We know, Applying these formulas to the given question we get I= ### Question 4. ∫ sinmx cosnx dx, m≠n

Solution:

Let I= Multiplying and dividing the equation by 2,we get

I= We know, Applying this formula to the given question we get

I= We know, Applying these formulas to the given question we get I= Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!

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