Home
Class 12
MATHS
intsqrt(x-3){sin^(-1)(Inx)+cos^(-1)(Inx)...

`intsqrt(x-3){sin^(-1)(Inx)+cos^(-1)(Inx)}dx` is equal to

A

`(pi)/(3)(x-3)^(3//2)+C`

B

0

C

does not exist

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
We know that `sin^(-1)x+cos^(-1)x=(pi)/(2), if-1lexle1`.
Since , In `x in(-oo, oo)`. Therefore,
`sin^(-1)(Inx)+cos^(-1)(Inx)` does not exist.
Hence , the given integral does not exist.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|3 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Exercise|62 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

Similar Questions

Explore conceptually related problems

intsqrt(x)dx is equal to

intsqrt(1+x)dx

int(1)/(sin^(2)x.cos^(2)x)dx is equal to

int(1)/(sin(x-a)cos(x-b))dx is equal to

intsqrt((x-1)/(x+1))dx is equal to

(d)/(dx)(sin^(-1)x+cos^(-1)x) is equal to

The value of int(sin^-1sqrt(x)-cos^-1sqrt(x))/(sin^-1sqrt(x)+cos^-1sqrt(x))dx is equal to

intsqrt(1+sin2x)dx is equal to

intsqrt(e^(x)-1)dx is equal to