Students can Download Maths Chapter 7 Integrals Ex 7.10 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka 2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.10

### 2nd PUC Maths Integrals NCERT Text Book Questions and Answers Ex 7.10

Question 1.

\(\int_{0}^{1} \frac{x}{x^{2}+1} d x\)

Answer:

Question 2.

\(\int_{0}^{\frac{\pi}{2}} \sqrt{\sin \phi} \cos ^{3} \phi d \phi\)

Answer:

Question 3.

\(\int_{0}^{1} \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) d x\)

Answer:

Question 4.

\(\int_{0}^{2} x \sqrt{x+2}\left(\text { put } x+2=t^{2}\right)\)

Answer:

Question 5.

\(\int_{0}^{\frac{\pi}{2}} \frac{\sin x}{1+\cos ^{2} x} d x\)

Answer:

Question 6.

\(\int_{0}^{2} \frac{d x}{x+4-x^{2}}\)

Answer:

Question 7.

\(\int_{-1}^{1} \frac{d x}{x^{2}+2 x+5}\)

Answer:

Question 8.

\(\int_{1}^{2}\left(\frac{1}{x}-\frac{1}{2 x^{2}}\right) e^{2 x} d x\)

Answer:

choose the correct answer in exercise 9 and 10

Question 9.

The value of the integral \(\int_{\frac{1}{3}}^{1} \frac{\left(x-x^{3}\right)^{\frac{1}{3}}}{x^{4}} d x is \)

(A) 6

(B) 0

(C) 3

(D) 4

Answer:

Question 10.

\(\text { If } f(x)=\int_{0}^{x} t \sin t d t, \text { then } f^{\prime}(x) \text { is }\)

(A) cos x +x sin x

(B) x sin x

(C) x cos x

(D) sin x + x cos x

Answer: