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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What is the difference between integration and derivative?

Sreedevi A.

Entusiastic Teacher

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.

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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

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

Sarvajeet Kumar

Tutor

-3/x +c.

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Answered on 07/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What is the integral value of 5x?

Sarvajeet Kumar

Tutor

(5/2) square of x +c.

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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What is the antiderivative of sec x?

Sarvajeet Kumar

Tutor

log(sec x +tan x) +c.

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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

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

Sarvajeet Kumar

Tutor

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

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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

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

Sarvajeet Kumar

Tutor

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

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Answered on 02/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What is the antiderivative of cotx?

Sarvajeet Kumar

Tutor

log sin(x) + C

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Answered on 01/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

Which is more easier derivative or integration?

Gagan K.

Tutor

Integration is quite easier than derivation.

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Answered on 29/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What do you mean by integration?

Hussam Uddin

Tutor

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

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Answered on 19/11/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Integrals

What is the integral value (sin x + cos x) with respect to x?

Richa Kumari

-cos x+sin x

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