Maths-
General
Easy

Question

I f blank g open parentheses x close parentheses equals not stretchy integral subscript 0 end subscript superscript x end superscript c o s blank 4 t blank d t comma blank t h e n blank g open parentheses x plus pi close parentheses blank e q u a l s colon

  1. g open parentheses x close parentheses minus g left parenthesis pi right parenthesis    
  2. g open parentheses x close parentheses space g left parenthesis pi right parenthesis    
  3. fraction numerator g left parenthesis x right parenthesis over denominator g open parentheses pi close parentheses end fraction    
  4. g open parentheses x close parentheses plus g left parenthesis pi right parenthesis    

The correct answer is: g open parentheses x close parentheses plus g left parenthesis pi right parenthesis


    g open parentheses x plus pi close parentheses equals not stretchy integral subscript 0 end subscript superscript x plus pi end superscript c o s blank 4 t blank d t
    equals not stretchy integral subscript 0 end subscript superscript pi end superscript c o s blank 4 t blank d t plus not stretchy integral subscript pi end subscript superscript pi plus x end superscript c o s blank 4 t blank d t
    P u t blank t equals pi plus y rightwards double arrow not stretchy integral subscript pi end subscript superscript pi plus x end superscript c o s blank 4 t blank d t
    equals not stretchy integral subscript 0 end subscript superscript x end superscript c o s blank 4 open parentheses pi plus y close parentheses blank d y
    equals not stretchy integral subscript 0 end subscript superscript x end superscript c o s blank 4 y blank d y
    equals not stretchy integral subscript 0 end subscript superscript x end superscript c o s blank 4 t blank d t
    equals not stretchy integral subscript 0 end subscript superscript pi end superscript c o s blank 4 t blank d t plus not stretchy integral subscript 0 end subscript superscript x end superscript c o s blank 4 t blank d t
    equals g open parentheses pi close parentheses plus g open parentheses x close parentheses

    Related Questions to study

    General
    maths-

    If f left parenthesis 0 right parenthesis equals 2 comma f apostrophe left parenthesis x right parenthesis equals f left parenthesis x right parenthesis comma ϕ left parenthesis x right parenthesis equals x plus f left parenthesis x right parenthesis then not stretchy integral subscript 0 end subscript superscript 1 end superscript f left parenthesis x right parenthesisf (x) dx is

    If f left parenthesis 0 right parenthesis equals 2 comma f apostrophe left parenthesis x right parenthesis equals f left parenthesis x right parenthesis comma ϕ left parenthesis x right parenthesis equals x plus f left parenthesis x right parenthesis then not stretchy integral subscript 0 end subscript superscript 1 end superscript f left parenthesis x right parenthesisf (x) dx is

    maths-General
    General
    maths-

    The figure shows the graph of the parabola y = ax2 + bx + c then

    The figure shows the graph of the parabola y = ax2 + bx + c then

    maths-General
    General
    chemistry-

    Which of the following set of quantum number is correct:

    Which of the following set of quantum number is correct:

    chemistry-General
    parallel
    General
    chemistry-

    Energy of electron moving in nth m-orbit is:

    Energy of electron moving in nth m-orbit is:

    chemistry-General
    General
    chemistry-

    Which of these is represented by the configuration left square bracket Kr right square bracket 5 s squared:

    Which of these is represented by the configuration left square bracket Kr right square bracket 5 s squared:

    chemistry-General
    General
    chemistry-

    Which rule is not followed by configuration

    Which rule is not followed by configuration

    chemistry-General
    parallel
    General
    chemistry-

    A compound of vanadium has a magnetic moment 1.73 B. M. The electronic configuration of vanadium ion in the compound is -

    A compound of vanadium has a magnetic moment 1.73 B. M. The electronic configuration of vanadium ion in the compound is -

    chemistry-General
    General
    chemistry-

    The following graph between capital psi to the power of 2 end exponent probability density and distance from the nucleus represents -

    The following graph between capital psi to the power of 2 end exponent probability density and distance from the nucleus represents -

    chemistry-General
    General
    chemistry-

    In the following transition which statement is correct

    In the following transition which statement is correct

    chemistry-General
    parallel
    General
    chemistry-

    For H atom, the energy required for the removal electron from various sub-shells is given at under:

    The order of the energies would be:

    For H atom, the energy required for the removal electron from various sub-shells is given at under:

    The order of the energies would be:

    chemistry-General
    General
    chemistry-

    The uncertainty in the position of an electron (mass 9.1 cross times 10 to the power of negative 28 end exponent g m ) moving with a velocity of 3 cross times 10 to the power of 4 end exponent text end text c m sec-1, accurate upto 0.011% will be

    The uncertainty in the position of an electron (mass 9.1 cross times 10 to the power of negative 28 end exponent g m ) moving with a velocity of 3 cross times 10 to the power of 4 end exponent text end text c m sec-1, accurate upto 0.011% will be

    chemistry-General
    General
    physics-

    A block of mass M slides down a smooth inclined plane of height h through a slope distance s. The kinetic energy of the mass at the bottom will be

    A block of mass M slides down a smooth inclined plane of height h through a slope distance s. The kinetic energy of the mass at the bottom will be

    physics-General
    parallel
    General
    physics-

    A rod of mass M and length L is lying on a horizontal table. The work done in making it stand e one end will be

    A rod of mass M and length L is lying on a horizontal table. The work done in making it stand e one end will be

    physics-General
    General
    physics-

    A particle starts with velocity u and moves with constant acceleration a what is the nature of the graph between the time (t) and the displacement (x).

    A particle starts with velocity u and moves with constant acceleration a what is the nature of the graph between the time (t) and the displacement (x).

    physics-General
    General
    Maths-

    The positive integers are written in a triangular array as shown

    The row in which the number 2005 will be, is

    nth term of the given sequence should be less than or equal to 2005  since the number 2005 can be anywhere in the whole row but atleast at the 1st position.

    The positive integers are written in a triangular array as shown

    The row in which the number 2005 will be, is

    Maths-General

    nth term of the given sequence should be less than or equal to 2005  since the number 2005 can be anywhere in the whole row but atleast at the 1st position.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.