Question
∫20[x2]dx is (where [.] is greastest integral function
Answer: Option D
:
D
∫20[x2]dx
=∫10[x2]dx+∫√20[x2]dx+∫√3√2[x2]dx+∫2√3[x2]dx
=∫100dx+∫√201dx+∫√3√22dx+∫2√33dx
=√2−1+2√3−2√2+6−3√3
=5−√3−√2
Was this answer helpful ?
:
D
∫20[x2]dx
=∫10[x2]dx+∫√20[x2]dx+∫√3√2[x2]dx+∫2√3[x2]dx
=∫100dx+∫√201dx+∫√3√22dx+∫2√33dx
=√2−1+2√3−2√2+6−3√3
=5−√3−√2
Was this answer helpful ?
More Questions on This Topic :
Question 1. ∫π20 sin2x cos3x dx= [RPET 1984, 2003]....
Question 4. ∫∞11x2dx does not have a finite value....
Question 6. ∫π2−π2 sin2x dx=....
Question 7. Find the integral ∞∫0e−xdx.....
Question 8. ∫π20 log(tan x+cot x)dx=....
Question 9. ∫10π0|sin x|dx is....
Question 10. Calculate ∫3−2f(x)dx wheref(x)={6ifx>13x2ifx≤1 ....
Submit Solution