Integration Method
About the Lecture
The lecture Integration Method by Batool Akmal is from the course Basic Integration.
Included Quiz Questions
Which of the following can be found using Integration?
- The area under a curve
- The gradient of a curve
- The stationary point of the curve
- The tangent to a curve
- The normal to the curve
Given the indefinite integral ∫ f(x) dx = F(x) with f(x) ≥ 0, what is the area under the curve of f(x) from x = a to x = b ?
- F(b) - F(a)
- F(b) + F(a)
- (F(b) - F(a) ) /2
- F(a) - F(b)
- (b-a).(F(b) - F(a))
What is the difference between indefinite integral and definite integral?
- Definite integral gives the area under the curve between its upper and lower limits but indefinite integral does not have any limits and gives the inverse differentiation of the function under the integral
- No difference
- Indefinite integral gives the area under the curve between its upper and lower limits but definite integral does not have any limits and gives the inverse differentiation of the function under the integral
- Indefinite integral has upper limit and definite integral has lower limit and both give the area under the curve
- Indefinite integral has lower limit and definite integral has upper limit and both give the inverse differentiation of the function under the integral
What is the evaluation of the following indefinite integral, ∫ xⁿ dx ?
- [(xⁿ ⁺¹ ) / (n + 1)] + c
- [(xⁿ ⁺¹ ) / (n)] + c
- [(xⁿ ⁺¹ ) / (n - 1)]
- [(xⁿ ⁻¹ ) / (n - 1)] + c
- n xⁿ ⁻¹
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Author of lecture Integration Method
Batool Akmal
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