Inequalities of Integrals
Trending Questions
Q. What is the value of the integral ∫π40ln(1+tan x)dx
- ln (2).π8
- ln(2).π
- ln (4).π4
- ln (2).π3
Q. Let p(x) be a function defined on R such that p’(x) = p’(1–x), for all x ϵ [0, 1], p(0) = 1 and p(1) = 41. Then ∫10p(x)dx equals
- 21
- 41
- 42
- √41
Q. Let Tn be the area bounded by y=tannx, x=0, y=0 and x=π4 where n is a integer greater than 2, then T100 is
- 1200<T100<1196
- 1206<T100<1204
- 1204<T100<1202
- 1202<T100<1198
Q.
The absolute value of ∫1910sinx1+x8dx is
less than 10−7
more than 10−7
less than 10−6
more than 10−6
Q. If ∫π0xf(sin x)dx=A∫π20f(sin x)dx, then A is equals to
- 0
- π
- π4
- 2π
Q. ∫π0x log sin x dx=
- π2 log 12
- π22 log 12
π log 12
π2 log 12
Q. ∫π0 xf(sin x)dx is equal to
- π∫π0 f(sin x)dx
- π2∫π20 f(sin x)dx
- π∫π20 f(cos x)dx
- π∫x0 f(cos x)dx
Q. ∫π20 4 sin x+3 cos xsin x+cos xdx=
- 5π4
- 3π2
- 7π4
- 5π6
Q. ∫a0 x(a−x)ndx=
- an+2(n+1)(n+2)
- 2an+2(n+1)(n+2)
- an+2(n−1)(n+2)
- an+2(n+1)(n−2)
Q. ∫10tan−1(1−x+x2)dx= ___
- In 2
- π4
- π2
- π2−In2
Q. ∫π20log(cos x)dx=
- π log 2
- −π2log 2
- −π22 log 2
- none
Q. The value of the integral, ∫63√x√9−x+√xdx is
- 2
- 1
- 12
- 32