CBSE Class 12th Mathematics Chapter 7 - Integrals Important Questions with Answers

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Prepare thoroughly with the most important questions of CBSE Class 12th Mathematics Chapter 7 - Integrals. You can first cover the CBSE Class 12th Mathematics syllabus to understand the key topics and then start solving the CBSE Class 12th Mathematics Chapter 7 - Integrals Important Question to get a better understanding of your preparation level. Start practicing now.

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Find ?

\frac{\sec^{2} x}{\sqrt{\tan^{2} x + 4}}

dx. (Delhi 2019)

Question 2.

Find: ?

\sqrt{1 - \sin 2 x}

dx,

\frac{π}{4}

< x <

\frac{π}{2}

. (Delhi 2019)

Question 3.

Find: ? sin^-1 (2x) dx. (Delhi 2019)

Question 4.

Find the values of ?

\frac{\tan^{2} x \cdot \sec^{2} x}{1 - \tan^{6} x}

dx. (Delhi 2019)

Question 5.

Find the value of ? sin x ? log cos x dx. (Delhi 2019)

Question 6.

Find ?

\sqrt{3 - 2 x - x^{2}}

dx. (All India 2019)

Question 7.

Find ?

\frac{\sin^{3} x + \cos^{3} x}{\sin^{2} x \cos^{2} x}

dx. (All India 2019)

Question 8.

Find ?

\frac{x - 3}{(x - 1)^{3}}

e^x dx (All India 2019)

Question 9.

Find ?

\frac{x - 5}{(x - 3)^{3}}

e^x dx. (All India 2019)

Question 10.

Find: ?

\frac{3 x + 5}{x^{2} + 3 x - 18}

dx. (Delhi 2019)

Question 1.

Find the value of ?

\frac{\cos x}{(1 + \sin x) (2 + \sin x)}

dx. (Delhi 2019)

Question 2.

Find ?

\frac{x^{2} + x + 1}{(x + 2) (x^{2} + 1)}

dx. (All India 2019)

Question 3.

Find ?

\frac{2 \cos x}{(1 - \sin x) (2 - \cos^{2} x)}

dx. (All India 2019)

Question 4.

Evaluate

\int_{- 1}^{2} \frac{| x |}{x}

dx. (Delhi 2019)

Question 5.

Evaluate

\int_{- 1}^{2} \frac{| x |}{x}

dx. (Delhi 2019)

Question 6.

Prove that

\int_{0}^{a} f (x)

dx =

\int_{0}^{a} f (a - x)

dx, hence evaluate

\int_{0}^{π} \frac{x \sin x}{1 + \cos^{2} x}

. (Delhi 2019)

Question 7.

Prove that

\int_{0}^{a} f (x)

dx =

\int_{0}^{a} f (a - x)

dx. and hence evaluate

\int_{0}^{π / 2} \frac{x}{\sin x + \cos x}

dx. (All India 2019)

Question 8.

Find

\int_{3}^{1}

(x² + 2 + e^2x) dx as the limit of sums. (All India 2019)

Question 9.

Evaluate

\int_{1}^{3}

(x² + 3x + e^x) dx as the limit of the sum. (CBSE 2019)

Question 10.

Evaluate ?

\frac{\cos 2 x + 2 \sin^{2} x}{\cos^{2} x}

dx (CBSE 2018)

Other CBSE Class 12th Mathematics Chapter Wise Questions

Three - dimensional Geometry

Vectors

Determinants

Continuity and Differentiability

Applications of Derivatives

Differential Equations

Inverse Trigonometric Functions

Probability

Matrices

Relations and Functions

Applications of the Integrals

Linear Programming

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CBSE Class 12th Mathematics Chapter 7 - Integrals Important Questions with Answers

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Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

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