हिंदी

Evaluate the definite integral: ∫45exdx

Advertisements
Advertisements

प्रश्न

Evaluate the definite integral:

`int_4^5 e^x dx`

योग
Advertisements

उत्तर

∴ `int_4^5 e^x dx`

`= [e^x]_4^5`

`= e^5 - e^4`

`= e^4 (e - 1)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Integrals - Exercise 7.9 [पृष्ठ ३३८]

APPEARS IN

एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 7 Integrals
Exercise 7.9 | Q 6 | पृष्ठ ३३८

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

 
 

Evaluate : `∫_0^(π/2)(sin^2 x)/(sinx+cosx)dx`

 
 

 

Evaluate :`int_0^(pi/2)(2^(sinx))/(2^(sinx)+2^(cosx))dx`

 

Evaluate the definite integral:

`int_(-1)^1 (x + 1)dx`


Evaluate the definite integral:

`int_2^3 1/x dx`


Evaluate the definite integral:

`int_1^2 (4x^3 - 5x^2 + 6x + 9)  dx`


Evaluate the definite integral:

`int_0^(pi/4) sin2xdx`


Evaluate the definite integral:

`int_0^(pi/4) tan x dx`


Evaluate the definite integral:

`int_(pi/6)^(pi/4) cosec x  dx`


Evaluate the definite integral:

`int_0^1 dx/(1+x^2)`


Evaluate the definite integral:

`int_2^3 dx/(x^2 - 1)`


Evaluate the definite integral:

`int_0^1 (2x + 3)/(5x^2 + 1) dx`


Evaluate the definite integral:

`int_1^2 (5x^2)/(x^2 + 4x + 3)`


`int_1^(sqrt3)dx/(1+x^2) ` equals:


`int_0^(2/3) dx/(4+9x^2)` equals:


Evaluate : \[\int\frac{x \cos^{- 1} x}{\sqrt{1 - x^2}}dx\] .


`int_1^sqrt(3) (dx)/(1 + x^2)` equals


Evaluate:

`int_0^π(sin^4x + cos^4x)dx`


Hence evaluate:

`int_(-2π)^(2π) (sin^4x + cos^4x)/(1 + e^x)dx`


What does the Fundamental Theorem of Integral Calculus connect?


If \(f\) is continuous on an interval, which expression defines the area function?


If \(f\) is continuous on \([a,b]\) and \(F\) is any antiderivative of \(f\), which formula evaluates the definite integral?


Why is there no need to write the constant of integration \(C\) while evaluating a definite integral?


Which expression correctly applies the limits to a definite integral?


For \[\int_4^9\frac{\sqrt{x}}{(30-x^{\frac32})^2}\,dx,\] which substitution is used?


An antiderivative of \[\frac{\sqrt{x}}{(30-x^{\frac32})^2}\] is:


Evaluate \[\int_4^9\frac{\sqrt{x}}{(30-x^{\frac32})^2}\,dx.\]


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×