Balbharati Maharashtra State Board Std 12 Commerce Statistics Part 1 Digest Pdf Chapter 5 Integration Ex 5.5 Questions and Answers.

## Maharashtra State Board 12th Commerce Maths Solutions Chapter 5 Integration Ex 5.5

Evaluate the following.

Question 1.

∫x log x

Solution:

Question 2.

∫x^{2} e^{4x} dx

Solution:

Question 3.

∫x^{2} e^{3x} dx

Solution:

Question 4.

\(\int x^{3} e^{x^{2}} d x\)

Solution:

Question 5.

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

Solution:

Question 6.

\(\int e^{x} \frac{x}{(x+1)^{2}} d x\)

Solution:

Question 7.

\(\int e^{x} \frac{x-1}{(x+1)^{3}} d x\)

Solution:

Question 8.

\(\int e^{x}\left[(\log x)^{2}+\frac{2 \log x}{x}\right] d x\)

Solution:

Question 9.

\(\int\left[\frac{1}{\log x}-\frac{1}{(\log x)^{2}}\right] d x\)

Solution:

Question 10.

\(\int \frac{\log x}{(1+\log x)^{2}} d x\)

Solution: