Question

This assignment is due on Monday, April 24, 2023. 1. Find the indefinite integral $\int (4x^3 - 5x^2 + 10x^2 + 16x^2 - 14x + 3)dx$. 2. Find the indefinite integral $\int (16e^x + 3sec^2x)dx$. 3. Find the indefinite integral $\int \left(\frac{-2}{x^6} + 5\sqrt{x}\right)dx$. 4. Find the indefinite integral $\int \left(8\sin x - 4 + \frac{9}{x}\right)dx$. 5. Find the particular solution of the differential equation that satisfies the initial conditions(s). D.E.: $\frac{dy}{dx} = \frac{-1}{x^2}$ I.C.: y(1) = 3 6. Use the properties of summation and the summation formulas to determine $\sum_{i=1}^{20} (i^2 + 6i - 11)$ 7. Use the properties of summation and the summation formulas to determine $\sum_{i=1}^{7} 4i^2$

          This assignment is due on Monday, April 24, 2023.
1.
Find the indefinite integral $\int (4x^3 - 5x^2 + 10x^2 + 16x^2 - 14x + 3)dx$.
2.
Find the indefinite integral $\int (16e^x + 3sec^2x)dx$.
3.
Find the indefinite integral $\int \left(\frac{-2}{x^6} + 5\sqrt{x}\right)dx$.
4.
Find the indefinite integral $\int \left(8\sin x - 4 + \frac{9}{x}\right)dx$.
5.
Find the particular solution of the differential equation that satisfies the initial
conditions(s).
D.E.: $\frac{dy}{dx} = \frac{-1}{x^2}$  I.C.: y(1) = 3
6.
Use the properties of summation and the summation formulas to determine
$\sum_{i=1}^{20} (i^2 + 6i - 11)$
7.
Use the properties of summation and the summation formulas to determine
$\sum_{i=1}^{7} 4i^2$

This assignment is due on Monday, April 24, 2023.
1.
Find the indefinite integral ∫ (4x^3 - 5x^2 + 10x^2 + 16x^2 - 14x + 3)dx.
2.
Find the indefinite integral ∫ (16e^x + 3sec^2x)dx.
3.
Find the indefinite integral ∫((-2)/(x^6) + 5√(x))dx.
4.
Find the indefinite integral ∫(8sin x - 4 + (9)/(x))dx.
5.
Find the particular solution of the differential equation that satisfies the initial
conditions(s).
D.E.: (dy)/(dx) = (-1)/(x^2) I.C.: y(1) = 3
6.
Use the properties of summation and the summation formulas to determine
∑i=1^20 (i^2 + 6i - 11)
7.
Use the properties of summation and the summation formulas to determine
∑i=1^7 4i^2

Added by Ashley S.

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