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Karthik 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by integration?

Hussam Uddin replied | 29/11/2016

Integration is nothing but area of the graph represented by:-
y = f(x).

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J

Jyoti 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the difference between integration and derivative?

Sreedevi replied | 07/12/2016

In calculus, differentiation is the process by which rate of change of a curve is determined. Integration is just the opposite of differentiation. It sums up all small area lying under a curve and finds out the total area.
Differentiation deals with the calculation of a derivative which is the instantaneous rate of change of function taking into one of its variables into consideration....  more»
In calculus, differentiation is the process by which rate of change of a curve is determined. Integration is just the opposite of differentiation. It sums up all small area lying under a curve and finds out the total area.
Differentiation deals with the calculation of a derivative which is the instantaneous rate of change of function taking into one of its variables into consideration. It deals with quantities which continuously vary. In other words, it is equivalent to the slope of the tangent line, which is represented by m = change in y/ change in x.
Integration is just the opposite of differentiation, and therefore is also termed as anti-differentiation. It is able to determine the function provided its derivative. It measures the area under the function between limits. The process of integration is the infinite summation of the product of a function x which is f(x) and a very small delta x.
It is depicted by the symbol. If the specific interval is mentioned then it is known as definite integral otherwise indefinite integral. «less

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U

Urvashi 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the integral value of [(x) power 7] with respect to x?

Eti replied | 21/11/2016

(X ^8/8+C)

Hussam Uddin replied | 29/11/2016

x8/8 + C.

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C

Chitra 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the integral value of [cube of (x)]?

Sarvajeet replied | 26/11/2016

Power 4 of (x)/4 + C; C = Integral constant.

Hussam Uddin replied | 29/11/2016

x4/4 + C.

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D

Datta 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the integral value of 5x?

Sarvajeet replied | 07/12/2016

(5/2) square of x +c.

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V

Vibha 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve integral of: (6x + 4 + 2 sin x) with respect to x?

Hussam Uddin replied | 29/11/2016

3x2 + 4x - 2 cosx + C.

Sarvajeet replied | 03/12/2016

3.square of x + 4x -2 cos x +c.

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S

Sahiba 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Find an expression for y in the given derivation: dy/dx = 7x?

Hussam Uddin replied | 22/11/2016

y = 7x2 + c

Sarvajeet replied | 03/12/2016

y= (7/2)square of x +c.

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S

Swati 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Find an expression for y given dy/dx = (square of x)?

S

Srinivas replied | 25/11/2016

dy/dx=x^2
Now applying integration on both sides then,
y=x^3/3!

Hussam Uddin replied | 29/11/2016

dy/dx = x2, y = x3/3 + C.

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K

Kumarpalaksha 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Simplify: Integration of function f(x) = 12 (x power 4) with respect to x?

Richa replied | 19/11/2016

12x^5/5

S

Shiv replied | 19/11/2016

12/5 x(power5)

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A

Ananya 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Find integral of: f(x) = 2/x + 3/x + 4/x with respect to x?

Sarvajeet replied | 26/11/2016

9logx+C; C= Integral constant.

Hussam Uddin replied | 29/11/2016

9lnx + C.

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S

Shiv 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Solve integration of: 3/(square of x) with respect to x?

Sarvajeet replied | 07/12/2016

-3/x +c.

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A

Ann 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the antiderivative of cotx?

Sarvajeet replied | 02/12/2016

log sin(x) + C

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D

Deepak 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the antiderivative of sec x?

Asif replied | 02/12/2016

sec x tan x + c.

Sarvajeet replied | 03/12/2016

log(sec x +tan x) +c.

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P

Parna 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What is the antiderivative of cosec x?

Sarvajeet replied | 26/11/2016

- log(cosec x+cox x)+c.

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N

Nikhil 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of (ax + d) / (cx + d) with respect to x?

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A

Akhil 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of sin (2x) with respect to x?

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Jitender 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

What do you mean by derivative with respect to calculus?

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Pankaj 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write derivative of [(square of x) sin x + cos (2x)] with respect to x?

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A

Ann 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of [(square of x) + 1] with respect to x?

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M

Muskan 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of (tan 60 / cot 60) with respect to angle?

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D

Deepika 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of (sin x / x) with respect to x?

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B

Balendra 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of (tan 3x - cot 2x) with respect to x?

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Nagaraj 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of y = sin (x + 9) / cos x with respect to x?

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Venkat 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Write the derivative of y = tan 60 + sec 45 with respect to angle?

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Thimma 10/11/2016 in  Mathematics(Class XI-XII Tuition (PUC)),

Prove that: (tan A + sec A - 1) / (tan A - sec A + 1) = (1 + sin A) / cos A?

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