Quiz about Integrals

Question 1

The value of $$\int_{2}^{3} \frac{x}{x^{2}+1} {dx}$$ is

Accepted Answer

Covalent bond

Answer

$$\frac{1}{2} \log 2$$

Answer

$$\log 4$$

Answer

$$\log \frac{3}{2}$$

Answer

$$\log \frac{9}{4}$$

Question 2

Evaluate: $$\int_{\pi / 6}^{\pi / 3} \frac{d x}{1+\sqrt{	an x}}$$

Accepted Answer

Covalent bond

Answer

$$\frac{\pi}{12} $$

Answer

$$\frac{\pi}{2} $$

Answer

$$\frac{\pi}{17} $$

Answer

$$-\frac{\pi}{12} $$

Question 3

Find: $$\int \frac{d x}{\sqrt{3-2 x-x^{2}}}$$

Accepted Answer

Covalent bond

Answer

$$\sin ^{-1}(\frac{x+1}{2})+C$$

Answer

$$\sin ^{-1}(\frac{x-1}{2})+C$$

Answer

$$\sin ^{-1}(\frac{x+5}{5})+C$$

Answer

None of the above

Question 4

Evaluate: $$\int_{0}^{4}|x-1| d x$$

Accepted Answer

Covalent bond

Answer

$$5$$

Answer

$$6$$

Answer

$$7$$

Answer

$$8$$

Question 5

Find $$\int \frac{(x^{3}+x+1)}{(x^{2}-1)} d x$$

Accepted Answer

Covalent bond

Answer

$$ \frac{x^{2}}{2}+\frac{3}{2} \log |x-1|+\frac{1}{2} \log |x+1|+C$$

Answer

$$ \frac{x^{3}}{2}+\frac{5}{2} \log |x+1|+\frac{1}{5} \log |x-1|+C$$

Answer

$$ \frac{x^{2}}{3}+\frac{7}{3} \log |x-1|-\frac{2}{5} \log |x+1|-C$$

Answer

None of the above

Integrals Cbse Class 12 Maths Problems and Solutions