int(a)^(b)f(x)dx represents the area of ...

`int_(a)^(b)f(x)dx` represents the area of the region bounded by the curve f(x), the x-axis and the ordinates x = a and x = b. Find `int_(0)^(pi/2)sinx dx`

Text Solution

Verified by Experts

The correct Answer is:

1

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 2 MARKS|12 Videos
DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos
DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 1 MARK - TYPE-II|21 Videos
CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos
DETERMINANTS
ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the line y = 3x+2 ,the x-axis and the ordinates x = -1, x = 1 .

Find the area of region bounded by the curve y^2 = x and the lines x = 1,x = 4 and the x - axis

The area bounded by the curve y=f(x), above the x-axis, between x=a and x=b is:

If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) sin (3b+4), then find f(x).

Find the area of region bounded by the curve y^(2)=x and the lines x=1,x=4 and the x-axis.

The area of the region bounded by the curve y = sin x between the ordinates x= 0, x= pi/2 and the x-axis is

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

Calculate the area bounded by the curve: f(x)=sin^2(x/2) , axis of x and the ordinates: x=0, x=pi/2 .

int_(a+c)^(b+c)f(x)dx is equal to

Evaluate int_(0)^(pi//2) sin2x dx .

ACCURATE PUBLICATION-DEFINITE INTEGRALS-QUESTION CARRYING 1 MARK - TYPE-III

int(a)^(b)f(x)dx represents the area of the region bounded by the curv...
01:58
|
Let f be a continuous function on the closed interval [a, b] and let A...
02:15
|
int(a)^(b)f(x)dx=F(b)-F(a).
01:33
|
int(a)^(b)f(x)dx=int(a)^(b)f(z)dz.
01:18
|
int(a)^(b)f(x)dx=int(b)^(a)f(x)dx.
01:45
|
int(a)^(b)f(x)dx=int(a)^(c)f(x)dx+int(c)^(b)f(x)dx.
03:11
|
int(0)^(a)f(x)dx=int(a)^(0)f(a-x)dx.
01:39
|
int(0)^(2a)f(x)dx=int(0)^(a)f(x)dx+int(0)^(a)f(2a-x)dx.
03:10
|
If f(x) is an odd function, then int(-a)^(a)f(x)dx=0.
01:28
|
Evaluate int(0)^(pi/4)(sin2x)dx
02:24
|
int(0)^(1)(2x)/(1+x^(2))dx=log2
01:55
|
int(0)^(1)(2x)/(5x^(2)+1)dx=log6
02:03
|
If int(0)^(1)(3x^(2)+2x+k)dx=0, then k = -2.
02:04
|
If f(x)=int(0)^(x)tsintdt, then f'(x)=xsinx.
01:28
|
If f(x) is an odd function, then int(-a)^(a)f(x)dx=0.
01:28
|
int(a)^(b)f(x)dx=int(a)^(b)f(a+b-x)dx.
02:14
|
int(-pi/4)^(pi/4)sin^(3)xdx=2.
02:12
|
int(0)^(pi/2)logtanxdx=0.
02:45
|
Evaluate : int(e)^(e^(2))(dx)/(xlogx)
02:15
|