Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 1: EXERCISE

Author:Parthasarathi Mukhopadhyay & Manabendra Nath Mukherjee

Parthasarathi Mukhopadhyay Mathematics Solutions for Exercise - Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 1: EXERCISE

Attempt the practice questions from Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. RUDIMENTS of MATHEMATICS For Class 12 of +2 Level solutions are prepared by Experienced Embibe Experts.

Questions from Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 1: EXERCISE with Hints & Solutions

MEDIUM
12th West Bengal Board
IMPORTANT

Evaluate the following definite integrals by definition:

01xdx

MEDIUM
12th West Bengal Board
IMPORTANT

Evaluate the following definite integrals by definition:

01e-xdx

MEDIUM
12th West Bengal Board
IMPORTANT

Using definite integral find the sum of the following series:

If limn1n+1n+1+1n+2++1n+n=logk, find the value of k.

MEDIUM
12th West Bengal Board
IMPORTANT

Using definite integral find the sum of the following series:

limn1n+m+1n+2m++1n+nm

MEDIUM
12th West Bengal Board
IMPORTANT

Using definite integral find the sum of the following series:

limn1ntanπ4n+tan2π4n++tannπ4n

EASY
12th West Bengal Board
IMPORTANT

If fx=1xt2dt1+t2,x>0, then find the value of f'4 (Write the answer in the fraction form only)

MEDIUM
12th West Bengal Board
IMPORTANT

If fx=1x2x2costdt then the value of f'(1)=kcos1, find k.

MEDIUM
12th West Bengal Board
IMPORTANT

If for x>0,0xg(t)t2+2tdt=x2g(x), then determine function g(x).