Integration
Trending Questions
Q. If ∫x2+4x4+16dx=1ktan−1(x2−4k x)+C, then k2=(where k is fixed constant and C is integration constant)
Q. If (2+√3)n=I+f, n∈N, where I is integral part and f is fractional part, then (I+f)(1−f) is
- 0
- 1
- n
- −1
Q. ∫√1+3x−x2 dx is equal to
(where C is integration constant)
(where C is integration constant)
- 2x−34√1+3x−x2+138ln|2x−3+√1+3x−x2|+C
- 2x−34√1+3x−x2+138sin−1[2x−3√13]+C
- x2√1+3x−x2+138sin−1[2x√13]+C
- x2√1+3x−x2−138ln|2x−3+√1+3x−x2|+C
Q. If (2≤r≤n), then nCr+2⋅nCr+1+nCr+2 is equal to
- 2⋅nCr+2
- n+1Cr+1
- n+2Cr+2
- n+1Cr
Q.
If n is even and the value of nCr is maximum, then r =
n/4