Advertisements
Advertisements
प्रश्न
find `∫_2^4 x/(x^2 + 1)dx`
Advertisements
उत्तर
`∫_2^4 x/(x^2 + 1)dx`
`Put x^2+1=t`
`2xdx=dt`
Now, `1/2∫_5^17 1/tdt`
`⇒1/2log t_5^17`
`⇒1/2(log 17−log 5)`
`⇒1/2log (17/5)`
APPEARS IN
संबंधित प्रश्न
Evaluate `int_(-1)^2|x^3-x|dx`
Evaluate :
`∫_(-pi)^pi (cos ax−sin bx)^2 dx`
If `int_0^a1/(4+x^2)dx=pi/8` , find the value of a.
Evaluate the integral by using substitution.
`int_0^2 xsqrt(x+2)` (Put x + 2 = `t^2`)
Evaluate of the following integral:
(i) \[\int x^4 dx\]
Evaluate of the following integral:
Evaluate :
Evaluate:
Evaluate:
Evaluate:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate each of the following integral:
Evaluate each of the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate: `int_1^5{|"x"-1|+|"x"-2|+|"x"-3|}d"x"`.
If `I_n = int_0^(pi/4) tan^n theta "d"theta " then " I_8 + I_6` equals ______.
Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economics, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is
`int_0^1 x^2e^x dx` = ______.
Evaluate: `int x/(x^2 + 1)"d"x`
If `int x^5 cos (x^6)dx = k sin (x^6) + C`, find the value of k.
Which limits are used to evaluate the resulting expression in Method: Resubstitution?
Under Method: Changing the Limits, what does the lower limit \[a\] become?
After changing the limits to the new variable, how is the definite integral completed?
What is the value of \[\int_{0}^{1}\frac{\tan^{-1}x}{1+x^2}\,dx\]?
