For a function it is known that and that .

MATHEMATICS · Multi-part · A Level · Mathematics · Integration · Integration

Problem

For a function F(x)F(x) it is known that F′(x)=2x+3F'(x)=2x+3 and that F(1)=4F(1)=4. (i) Obtain the explicit expression for F(x)F(x). (ii) Hence calculate the value of F(2)F(2).

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