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Introduction to Integration: Online Course
This series is based on Integrals for class 12 students for board level and IIT JEE Mains
Teaching and Academics ,Math,Calculus
Lectures -107
Duration -6.5 hours
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Course Description
Integration is one of the two main operations of calculus, with its inverse, differentiation, being the other. The principles of integration were formulated independently by Isaac Newton and Gottfried Leibniz. It can be used to find areas, volumes etc. We had already taken up differentiation. Hence this video series is based on Integrals for class 12 students for board level and IIT JEE Mains.
Target audience:
These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), and those who are preparing for CBSE and other Board Exams for Intermediate, +2 and IIT JEE entrance exams. These classes will also be helpful for students in preparing them for Competitive Examinations for Engineering Institutes like IIT JEE etc.

Curriculum
Check out the detailed breakdown of what’s inside the course
Integration
15 Lectures
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Integrals Syllabus 09:25 09:25
-
Overview of Integration 05:08 05:08
-
Important Terms in Integration 02:26 02:26
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Formulas on Integration 06:48 06:48
-
Integration Problems Example 02:35 02:35
-
Geometric Interpretation of Integral 02:41 02:41
-
Properties of Indefinite Integrals 01:50 01:50
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Integration Problem Example 1 01:17 01:17
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Integration Problem Example 2 03:18 03:18
-
Integration Problem Example 3 01:46 01:46
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Integration Problem Example 4 03:00 03:00
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Integration Problem Example 5 02:41 02:41
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Integration Problem Example 6 05:14 05:14
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Integration Problem Example 7 03:57 03:57
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Integration Problem Example 8 01:42 01:42
Methods of Integration
13 Lectures

Form ∫ P(x)dx/(ax + b)<sup>n</sup>
1 Lectures

Form ∫ sin <sup>m</sup> x dx and ∫ cos <sup>m</sup> x dx
2 Lectures

Form Product of Sin & / Or Cos
1 Lectures

Evaluation of Integrals
4 Lectures

Form ∫ [f(x)]<sup>n</sup> f<sup>'</sup>(x) dx
1 Lectures

Form ∫ (ax + b)<sup>n</sup> p(x) dx
1 Lectures

Form ∫ tan<sup>m</sup>x Sec<sup>2n</sup>x dx
1 Lectures

Form ∫ Sin<sup>m</sup>x Cos<sup>n</sup>x dx
2 Lectures

Trigonometric Substitution
2 Lectures

Problems on Special Integrals
3 Lectures

Form ∫ dx/ ax<sup>2</sup> + bx + c
2 Lectures

Form ∫ (dx/√<span class="radicand">ax<sup>2</sup> + bx + c
2 Lectures

Form ∫ px + q dx / ax<sup>2</sup> + bx + c
1 Lectures

Form ∫ dx / a sin <sup>2</sup> x + b cos <sup>2</sup> x
1 Lectures

Form ∫ dx / a sin x + b cos x
1 Lectures

Integration by Parts
4 Lectures

Form ∫ [e<sup>x</sup> {f(x) + f'(x)}] dx
3 Lectures

Form ∫ e<sup>ax</sup> sin bx dx
2 Lectures

Form ∫ e<sup>ax</sup> cos bx dx
2 Lectures

Form ∫ √<span class="radicand">a<sup>2</sup> - x<sup>2</sup></span><i class="play"></i> dx
2 Lectures

Form ∫ √<span class="radicand">x<sup>2</sup> - a<sup>2</sup></span><i class="play"></i> dx
2 Lectures

Form ∫ √<span class="radicand">x<sup>2</sup> + a<sup>2</sup></span><i class="play"></i> dx
2 Lectures

Form ∫ √<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i> dx
2 Lectures

Form ∫ px + q √<span class="radicand">ax<sup>2</sup> + bx + c</span><i class="play"></i> dx
2 Lectures

Integration by Partial Fractions
6 Lectures

Definite Integration
5 Lectures

Properties of Definite Integral
9 Lectures

Limit of Sum
4 Lectures

Miscellaneous Problems Integrals
4 Lectures

IIT JEE Questions on Integrals
4 Lectures

Instructor Details

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