Home
Class 12
MATHS
STATEMENT 1: int0^pisin^(100)xcos^(99)xd...

STATEMENT 1: `int_0^pisin^(100)xcos^(99)xdx `is z ero . STATEMENT 2: `int_a^bf(x)dx=int_(a+c)^(b+c)f(x-c)dx ,a n d` for odd function, `int_(-a)^af(x)dx=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

int_(a)^(b) f(x) dx =

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dxdot STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dxdot

STATEMENT 1: The value of int_0^(2pi)cos^(99)x dxi s0 STATEMENT 2: int_0^(2a)f(x)dx=2int_0^af(x)dx ,iff(2a-x)=f(x)

If f(x) is an odd function then int_(-a)^(a)f(x)dx is …………. .

STATEMENT 1 : The value of int_(-4)^(-5)sin(x^2-3)dx+int_(-2)^(-1)sin(x^2+12 x+33) is zero. STATEMENT 2 : int_(-a)^af(x)dx=0iff(x) is an odd function.

STATEMENT 1: int_0^pisqrt(1-sin^2x dx)0 STATEMENT 2: int_0^picosx dx=0

If int_(0)^(a) f(x) dx + int_(0)^(a) f(2a-x) dx =

If int_(0)^(2a) f (x) dx = 2 int_(0)^(a) f(x) then

Prove that int_(a)^(b)f(x)dx=(b-a)int_(0)^(1)f((b-a)x+a)dx