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If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x)
Concept: undefined >> undefined
If f′(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Concept: undefined >> undefined
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Evaluate the following.
`int x sqrt(1 + x^2) dx`
Concept: undefined >> undefined
Evaluate the following.
`int x^3 e^(x^2) dx`
Concept: undefined >> undefined
Evaluate the following.
`intx^3/sqrt(1+x^4)`dx
Concept: undefined >> undefined
Evaluate the following.
`intx^2e^(4x)dx`
Concept: undefined >> undefined
Evaluate the following.
`intx^3 e^(x^2)dx`
Concept: undefined >> undefined
Evaluate `int(1 + x + x^2/(2!))dx`.
Concept: undefined >> undefined
Evaluate the following.
`intx^3/(sqrt(1 + x^4))dx`
Concept: undefined >> undefined
Evaluate.
`int(5x^2 - 6x + 3)/(2x - 3) dx`
Concept: undefined >> undefined
Find the marginal revenue if the average revenue is 45 and elasticity of demand is 5.
Concept: undefined >> undefined
A manufacturing company produces x items at the total cost of Rs (180 + 4x). The demand function of this product is P = (240 − x). Find x for which profit is increasing.
Concept: undefined >> undefined
Find the elasticity of demand, if the marginal revenue is 50 and price is Rs 75.
Concept: undefined >> undefined
Integrate the following w.r.t. x : `x^2/((x^2 + 1)(x^2 - 2)(x^2 + 3))`
Concept: undefined >> undefined
Integrate the following w.r.t. x : `(12x + 3)/(6x^2 + 13x - 63)`
Concept: undefined >> undefined
Integrate the following w.r.t. x : `(2x)/(4 - 3x - x^2)`
Concept: undefined >> undefined
Integrate the following w.r.t. x : `(x^2 + x - 1)/(x^2 + x - 6)`
Concept: undefined >> undefined
Integrate the following w.r.t. x:
`(6x^3 + 5x^2 - 7)/(3x^2 - 2x - 1)`
Concept: undefined >> undefined
Integrate the following w.r.t. x : `(12x^2 - 2x - 9)/((4x^2 - 1)(x + 3)`
Concept: undefined >> undefined
Integrate the following w.r.t. x : `(1)/(x(x^5 + 1)`
Concept: undefined >> undefined
