मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

∫(7x-2)2dx=(7x-2)321+c

Advertisements
Advertisements

प्रश्न

`int(7x - 2)^2dx = (7x -2)^3/21 + c`

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
Advertisements

उत्तर

This statement is True.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2025-2026 (March) Model set 2 by shaalaa.com

संबंधित प्रश्‍न

Evaluate : `int_0^pi(x)/(a^2cos^2x+b^2sin^2x)dx`


Integrate the functions:

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


Integrate the functions:

sin (ax + b) cos (ax + b)


Integrate the functions:

cot x log sin x


\[\int\sqrt{9 - x^2}\text{ dx}\]

Write a value of\[\int a^x e^x \text{ dx }\]


Write a value of\[\int e^{ax} \cos\ bx\ dx\].

 


Evaluate:  \[\int\frac{x^3 - 1}{x^2} \text{ dx}\]


Integrate the following w.r.t. x:

`2x^3 - 5x + 3/x + 4/x^5`


Evaluate the following integrals : `int (3)/(sqrt(7x - 2) - sqrt(7x - 5)).dx`


Integrate the following functions w.r.t. x : `(x^2 + 2)/((x^2 + 1)).a^(x + tan^-1x)`


Integrate the following functions w.r.t. x : `(sinx + 2cosx)/(3sinx + 4cosx)`


Evaluate the following : `int (1)/(4 + 3cos^2x).dx`


Evaluate the following:

`int sinx/(sin 3x)  dx`


Evaluate `int 1/(x (x - 1))` dx


Evaluate the following.

`int 1/("x" log "x")`dx


Evaluate the following.

`int (20 - 12"e"^"x")/(3"e"^"x" - 4)`dx


Evaluate the following.

`int 1/(4x^2 - 20x + 17)` dx


Evaluate the following.

`int 1/("a"^2 - "b"^2 "x"^2)` dx


Evaluate `int "x - 1"/sqrt("x + 4")` dx


`int cot^2x  "d"x`


State whether the following statement is True or False:

`int sqrt(1 + x^2) *x  "d"x = 1/3(1 + x^2)^(3/2) + "c"`


`int[ tan (log x) + sec^2 (log x)] dx= ` ______


if `f(x) = 4x^3 - 3x^2 + 2x +k, f (0) = - 1 and f (1) = 4, "find " f(x)`


Evaluate `int 1/(x(x-1))dx`


Evaluate `int(5x^2-6x+3)/(2x-3)dx`


What is \[\int\cot t\,dt\] in the evaluation of \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?


How should a substitution be chosen?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×