If f(t) is an odd function, then `int_(0)^(x)f(t) dt ` is -

If f(t) is an odd function,then varphi(x)=int_(a)^(x)f(t)dt is an even function.

STATEMENT 1:int_(a)^(x)f(t)dt is an even function if f(x) is an odd function.STATEMENT 2:int_(a)^(x)f(t)dx is an odd function if f(x) is an even function.

STATEMENT 1: int_a^xf(t)dt is an even function if f(x) is an odd function. STATEMENT 2: int_a^xf(t)dt is an odd function if f(x) is an even function.

If" f, is a continuous function with int_0^x f(t) dt->oo as |x|->oo then show that every line y = mx intersects the curve y^2 + int_0^x f(t) dt = 2

If" f, is a continuous function with int_0^x f(t) dt->oo as |x|->oo then show that every line y = mx intersects the curve y^2 + int_0^x f(t) dt = 2

If" f, is a continuous function with int_0^x f(t) dt->oo as |x|->oo then show that every line y = mx intersects the curve y^2 + int_0^x f(t) dt = 2

If" f, is a continuous function with int_0^x f(t) dt->oo as |x|->oo then show that every line y = mx intersects the curve y^2 + int_0^x f(t) dt = 2

If f(t) is a continuous function defined on [a,b] such that f(t) is an odd function, then the function phi(x)=int_(a)^(x) f(t)dt

If f(-x)+f(x)=0 then int_(a)^(x)f(t)dt is

If f(t) is an odd function, then prove that varphi(x)=int_a^xf(t)dt is an even function.