Here we provide RD Sharma Class 12 Ex 19.7 Solutions Chapter 19 Indefinite Integrals for English medium students, Which will very helpful for every student in their exams. Students can download the latest Sharma Class 12 Ex 19.7 Solutions Chapter 19 Indefinite Integrals book pdf download. Now you will get step-by-step solutions to each question.

Textbook | NCERT |

Class | Class 12th |

Subject | Maths |

Chapter | 19 |

Exercise | 19.7 |

Category | RD Sharma Solutions |

**RD Sharma Class 12 Ex 19.7 Solutions Chapter 19 Indefinite Integrals**

**Integrate the following integrals:**

**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. **∫** **cos*mx *cos*nx 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. **∫ sin*mx *cos*nx 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=

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