JEE MainMathematicsDefinite IntegrationMCQ+4 / −1The value of integral, ∫36x9−x+xdx\int\limits_3^6 {{{\sqrt x } \over {\sqrt {9 - x} + \sqrt x }}} dx3∫69−x+xxdx isA12{1 \over 2}21B32{3 \over 2}23C222D111Attempt in chatSharePreviousNextMore from Definite IntegrationThe value of I=0∫π/21+sin2x(sinx+cosx)2dx is2004 · MCQThe value of −2∫31−x2dx is2004 · MCQIf 0∫πxf(sinx)dx=A0∫π/2f(sinx)dx, then A is2004 · MCQIf f(x)=1+exex,I1=f(−a)∫f(a)xg{x(1−x)}dx and I2=f(−a)∫f(a)g{x(1−x)}dx,…2004 · MCQIf f(y)=ey,g(y)=y;y>0 and F(t)=0∫tf(t−y)g(y)dy, then :2003 · MCQThe value of x→0limxsinx0∫x2sec2tdt is2003 · MCQLet f(x) be a function satisfying f′(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x2. Then the value of the integral 0∫1f(x)g(x)dx,…2003 · MCQIf f(a+b−x)=f(x) then a∫bxf(x)dx is equal to2003 · MCQ