Constant of integration

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Determine $\int\left(6e^{3x-5}+\frac{4}{3x-2}-5^{2x+1}\right)dx$

2e^{3x-5}+\frac{4}{3}\ln(3x-2)-\frac{5^{2x+1}}{2\ln(5)}+c

3e^{3x-5}+\frac{1}{3}\ln(3x-2)-\frac{5^{2x+2}}{2x+2}+c

6e^{3x-5}+\frac{4}{3}-5^{2x+1}+c

2e^{3x-5}+\frac{1}{3}\ln(3x-2)-\frac{5^{2x}}{2x}+c

E.None

Determine $\int \left(3x^2-\dfrac{4}{x^3}+2\right)dx$ .

x^3+\dfrac{2}{x^2}+2x+C

x^3-\dfrac{2}{x^2}+2x+C

x^3+\dfrac{4}{x^2}+2x+C

3x^3+\dfrac2{x^2}+2x+C

If $I=\int(4x^3-3x^2+6x-2)\,dx$ and $I=20$ when $x=2$ , find $I$ when $x=4$ .

236

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228

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