题目
题目

MCD2130 - T2 - 2025 MCD2130 Test 3

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Question text Find [math: ∫2x4+3x3−3x+4]\displaystyle\int{2\,x^4+3\,x^3-3\,x+4} [math: dx]. Note: Type "[math: c]" for the integral constant. [input] Check Question 15

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The task is to find the indefinite integral of the polynomial 2x^4 + 3x^3 - 3x + 4 with respect to x, and to include the constant of integration. - For the term 2x^4, the antiderivative is (2/5)x^5, since ∫x^n......Login to view full explanation

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Question text a) Find [math: ∫3x3+5x+5]\displaystyle\int{3\,x^3+5\,x+5} [math: dx] . Note: Type [math: c] for the integral constant. [input] b) Hence, find the equation of the function that has [math: f′(x)=3x3+5x+5]\displaystyle {f}'\left( x \right)={3\,x^3+5\,x+5} and passes through the point [math: (1,4)]({1},{4}) [math: f(x)=][input] Check Question 16

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