Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-INTEGRALS-All Questions
- L e t \ f(n)=1+1/2+1/3+...+1/n. Then show that f(n)=int0^(pi/2)cot(the...
Text Solution
|
- Let f(x) be a continuous function AAx in R , except at x=0, such that...
Text Solution
|
- If f(x)=(sinx)/xAAx in (0,pi], prove that pi/2int0^(pi/2)f(x)f(pi/2-x)...
Text Solution
|
- Determine a positive integer n such that int0^(pi/2)x^nsinx dx=3/4(pi^...
Text Solution
|
- f,g,h are continuous in [0,a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-x)=5...
Text Solution
|
- If f(x+f(y))=f(x)+yAAx ,y in R and f(0)=1, then prove that int0^2f(2-...
Text Solution
|
- Let intx^(x+p)f(t)dt be independent of xa n dI1=int0^pf(t)dt ,I2=int(1...
Text Solution
|
- Evaluate: int3^10[log[x]]dx
Text Solution
|
- If the function f : [0,8] to R is differentiable, then for 0 < alpha...
Text Solution
|
- The value of int0^1(x^4(1-x)^4)/(1+x^2)dx is/are (a)(22)/7-pi (b)...
Text Solution
|
- Let intx^(x+p)f(t)dt be independent of xa n dI1=int0^pf(t)dt ,I2=int(1...
Text Solution
|
- Evaluate:int-pi^pi ((2x)(1+sinx)/(1+cos^2x))dx
Text Solution
|
- Q. if int0^100(f(x) dx = a, then sum(r=1)^100(int0^1( f(r-1+x)dx))=
Text Solution
|
- Let f(x) be a derivable function satisfying f(x)=int0^x e^tsin(x-t)dt...
Text Solution
|
- If int0^1 e^(x^2)(x-alpha)dx=0, then (a)alphalt2 (b)alphalt0 (c)"" 0l...
Text Solution
|
- int(5/2)^5(sqrt((25-x^2)^3))/(x^4)dx is equal to
Text Solution
|
- The value of int0^((3pi)/2)(|tan^(-1)(tanx)|-|sin^(-1)(sinx)|)/(|tan^(...
Text Solution
|
- Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...
Text Solution
|
- The value of the integral int0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (...
Text Solution
|
- int0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2...
Text Solution
|