IF f(theta)= sin theta + int(-pi/2)^(pi/...

IF `f(theta)= sin theta + int_(-pi/2)^(pi/2) (sin theta+t cos theta)*f(t)d theta` then `abs(int_0^(pi/2) f(theta) d theta)` is

Topper's Solved these Questions

JEE MAINS 2022
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|20 Videos
JEE MAINS 2022
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|11 Videos
JEE MAINS 2022
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos
JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
JEE MAINS 2023 JAN ACTUAL PAPER
JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

int_(0)^( pi)sin theta d theta =

int_(0)^(pi//2) (sin^(2)theta)/ (1+cos theta)^(2) d theta =

Find: int_0^(pi/2)sin^3theta d theta

int_(0)^( pi/2)cos^(9)theta d theta

int_(0)^( pi/2)cos^(3)theta d theta

int_(0)^(2pi) (sin 2 theta)/(a-b cos 2 theta )d theta =

int_(0)^( pi/2)sin^(2)theta d theta=

int_(0)^( pi/2)sin^(3)theta d theta=

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B

Let a line having direction ratios 1, -4, 2 intersect the lines (x-7)/...
Text Solution
|
The number of points where the function f(x)={(|2x^2-3x-7|," if " x...
Text Solution
|
IF f(theta)= sin theta + int(-pi/2)^(pi/2) (sin theta+t cos theta)*f(t...
Text Solution
|
Let {:("Max"),(0 lex le2):}{(9-x^2)/(5-x)}= alphaand {:("Min"),(0 lex ...
Text Solution
|
If two tangents drawn from a point (a, b) lying on the ellipse 25x^2 +...
Text Solution
|
Let S be the region bounded by the curves y=x^3 and y^2=x. The curve y...
Text Solution
|
If the shortest distance between the lines vecr = (-hati+3hatk) + lamd...
Text Solution
|
f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?
Text Solution
|
If the sum of all the roots of the equation e^(2x)-11e^(x) – 45e^(-x) ...
Text Solution
|
abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...
Text Solution
|
The number of ways, 16 identical cubes, of which 11 are blue and rest ...
Text Solution
|
If the coefficient of x^(10) in the binomial expansion of (sqrtx/(5^(...
Text Solution
|
Let A1={((x,y))":"|x|ley^2,|x|+2yle8} and A2={((x,y))":"|x|+|y|lek} ...
Text Solution
|
If the sum of the first ten terms of the series 1/5 +2/65 +3/325 +...
Text Solution
|
A rectangle R with end points of one of its sides as (1, 2) and (3,6) ...
Text Solution
|
A circle of radius 2 unit passes through the vertex and the focus of t...
Text Solution
|
Let the mirror image of the point (a, b, c) with respect to the plane ...
Text Solution
|
Let A=((2,-2),(1,-1))andB=((-1,2),(-1,2)) Then the number of elements...
Text Solution
|
Let f (x)= [2x^2 +1] and g(x)={:{(2x-3,xlt0),(2x+3,xge0):} where [t] ...
Text Solution
|
12int3^b 1/((x^2-1)(x^2-4))=loge(49/40) then find value of b where b g...
Text Solution
|