`Ifint_a^b|sinx|dx=8a n dint_0^(a+b)|cosx|dx=9,t h e n` `a+b=(9pi)/2` (b) `|a-b|=4pi` `a/b=15` (d) `int_a^bsec^2x dx=0`

If int_a^b|sinx|dx=8 and int_0^(a+b)|cosx| dx=9 , then find the value of int_a^b xsinx dx .

Evaluate: int_0^(pi/2)|sinx-cosx|dx

int_(0)^(pi)(cosx)/(1+sinx)dx=

int_(0)^(pi)|cosx|^(3) dx is equal to (a) (4)/(3) (b) (2)/(3) (c) 0 (d) (-8)/(3)

Evaluate : int_0^(pi/2) (sinx+cosx) dx

Ifint_0^1cot^(-1)(1-x+x^2)dx=lambdaint_0^1tan^(-1)x dx ,t h e nlambdai se q u a lto 1 (b) 2 (c) 3 (d) 4

Evaluate: int_0^(npi+t)(|cosx|+|sinx"|"")"dx ,w h e r et in [0,f[pi/2]

Ifint_a^b(f(x))/(f(a)+f(a+b-x))dx=10 ,t h e n b=22 ,a=2 (b) b=15 ,1=-5 b=10 ,a=-10 (d) b=10 ,a=-2

"If " int x e^(x) cosx dx=ae^(x)(b(1-x)sinx+cx cosx)+d, then

Iff(2-x)=f(2+x)a n df(4-x)=f(4+x) for all xa n df(x) is a function for which int_0^2f(x)dx=5,t h e nint_0^(50)f(x)dx is equal to 125 (b) int_(-4)^(46)f(x)dx int_1^(51)f(x)dx (d) int_2^(52)f(x)dx