int(-a)^(a) x^(n) (a+x) dx, when n is od...

`int_(-a)^(a) x^(n) (a+x) dx`, when n is odd =

A

`2a^(n+2)/(n+2)`

B

`-2a^(n+2)/(n+2)`

C

`a^(n+2)/(n+2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES
HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
DIFFERENTIAL EQUATIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int_(-1)^(1) x^(n) (1-x) dx , when n is even =

int_(-a)^(a) |x|/x dx =

int_(1)^(4)(x^(2) - x)dx .

int x^(n) log x dx

int_1^(e) x^(n) log x dx

int_(a)^(b) (log x)/(x) dx is :

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (b) int_(-pi//2)^(pi//2) sin^(7) x dx .

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (c) int_(0)^(pi)|cosx|dx .

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (a) int_(-1)^(1) sin^(5)x cos^(4)xdx .

Prove that int_(-a)^(a) dx = {(2int_(0)^(a) f(x) dx, if f(x) "is even"),(0, if f(x) "is odd"):} and hence evaluate (d) int_(-pi//2)^(pi//2)tan^(9) xdx .

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK

int0^(pi/2) log ((a+b sin x)/(a+b cos x)) dx =
Text Solution
|
int3^(4) sqrt((x-3)(4-x)) dx =
Text Solution
|
int(-a)^(a) x^(n) (a+x) dx, when n is odd =
Text Solution
|
int(-pi/2)^(pi/2) sin^(m) x. cos^(n) x dx = 0, if
Text Solution
|
int0^(2pi) sin^(m) x. cos^(n) x dx = 4 int0^(pi/2) sin^(m) x. cos^(n) ...
Text Solution
|
The value of alpha which satisfies int(pi/2)^(alpha) sin alpha dx = si...
Text Solution
|
int(-pi)^(pi) (sin^(4)x dx) /(sin^(4)x + cos^(x) x) =
Text Solution
|
int0^(pi) e^(cos^(2)).cos^(3) 5x dx =
Text Solution
|
int(1/2)^(2)1/x cosec^(101)(x-1/x) dx =
Text Solution
|
int(-pi/2)^(pi/2) sin^(8) x (6x^(7)-4x^(5)+3x^(3)+2x) dx =
Text Solution
|
If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :
Text Solution
|
int0^(1)(1-x/(1!) +x^(2)/(2!)-x^(3)/(3!) + ……oo)e^(2x) dx =
Text Solution
|
If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =
Text Solution
|
int(pi/4)^(pi/2) (cot^(4)x + cot^(2)x) dx =
Text Solution
|
If In = int0^(pi//4) tan^n x dx, then lim(n to oo) n [In + I(n -2)] eq...
Text Solution
|
If I(n) = int0^(pi/4) tan^(n)x dx, then n(I(n-1)+I(n+1)) =
Text Solution
|
If I(n) = int0^(pi/2) sin^(n)x dx then I(n)/(I(n-2)) =
Text Solution
|
int(1/sqrt3)^(x) (dx)/(1+x^(2)) = pi/6, then the upper limit x =
Text Solution
|
If int0^(k) (dx)/(2+8x^(2)) = pi/16 then k =
Text Solution
|
If int0^(k) (cos x)/(1+sin^(2)x) dx= pi/4 then k=
Text Solution
|