1.Evaluate $\int (x^3 - 2x^2 + 5) dx$.
2.Evaluate $\int \left(\sqrt{x} + \frac{1}{\sqrt{x}}\right) dx$.
3.Find the integral $\int \frac{x^3 + 5x^2 - 4}{x^2} dx$.
4.Evaluate $\int (2^x + e^x) dx$.
5.Find $\int (2 \sin x - 3 \cos x) dx$.
6.Evaluate $\int \sec x (\sec x + \tan x) dx$.
7.Find $\int \frac{1-\sin x}{\cos^2 x} dx$.
8.Evaluate $\int (x^a + a^x) dx$, where $a > 0$ and $a \neq 1$.
9.Find the anti-derivative $F(x)$ of $f(x) = 4x^3 - 6$ if it is given that $F(0) = 3$.
10.Evaluate $\int \frac{2}{1+x^2} dx$.
11.Evaluate $\int 2x e^{x^2} dx$.
12.Find $\int \frac{(\log x)^2}{x} dx$.
13.Evaluate $\int \frac{\sin(\tan^{-1}x)}{1+x^2} dx$.
14.Find $\int \frac{e^x - e^{-x}}{e^x + e^{-x}} dx$.
15.Evaluate $\int \tan^3 x \sec^2 x dx$.
16.Find $\int \frac{1}{x \log x} dx$.
17.Evaluate $\int \frac{\cos x}{\sqrt{1+\sin x}} dx$.
18.Find $\int e^{x^3} \cdot 3x^2 dx$.
19.Evaluate $\int \frac{2x+3}{x^2+3x+5} dx$.
20.Find $\int \sin x \cos x dx$.
21.Evaluate $\int \sin^2 x dx$.
22.Evaluate $\int \cos^2 x dx$.
23.Find $\int \sin 3x \cos 4x dx$.
24.Evaluate $\int \cos^3 x dx$.
25.Find $\int \sqrt{1+\cos 2x} dx$.
26.Evaluate $\int \frac{1-\cos 2x}{1+\cos 2x} dx$.
27.Evaluate $\int \tan^2 x dx$.
28.Evaluate $\int \cot^2 x dx$.
29.Find $\int \sin 2x \sin 3x dx$.
30.Evaluate $\int \frac{\sin x}{\sin(x-a)} dx$.
31.Evaluate $\int \frac{dx}{x^2 - 16}$.
32.Evaluate $\int \frac{dx}{\sqrt{25 - x^2}}$.
33.Find $\int \frac{dx}{x^2 + 2x + 5}$ by completing the square.
34.Evaluate $\int \frac{dx}{\sqrt{x^2 - 9}}$.
35.Find $\int \frac{dx}{x(x+1)}$ using partial fractions.
36.Evaluate $\int \frac{2x}{x^2 + 3x + 2} dx$.
37.Find $\int \frac{1}{x^2 - 5x + 6} dx$.
38.Evaluate $\int \frac{x}{(x-1)(x-2)} dx$.
39.Find $\int \frac{dx}{4 + 9x^2}$.
40.Evaluate $\int \sqrt{16 - x^2} dx$.
41.Evaluate $\int x \sin x dx$.
43.Evaluate $\int \log x dx$.
44.Find $\int x^2 e^x dx$.
45.Evaluate $\int x \sec^2 x dx$.
46.Find $\int e^x (\sin x + \cos x) dx$.
47.Evaluate $\int e^x \left(\frac{1}{x} - \frac{1}{x^2}\right) dx$.
48.Find $\int x \log x dx$.
49.Evaluate $\int e^x (\tan x + \sec^2 x) dx$.
50.Find $\int \sin^{-1} x dx$.
51.Evaluate $\int_1^2 x^2 dx$.
52.Evaluate $\int_0^{\pi/2} \sin x dx$.
53.Evaluate $\int_0^1 \frac{dx}{1+x^2}$.
54.Find $\int_0^{\pi/4} \tan x dx$.
55.Evaluate $\int_{-1}^1 x^3 \cos x dx$.
56.Using King's Rule, find $\int_0^{\pi/2} \frac{\sin x}{\sin x + \cos x} dx$.
57.Evaluate $\int_{-a}^a x^4 dx$.
58.Find $\int_0^\pi \cos^3 x dx$.
59.Evaluate $\int_1^3 \frac{1}{x} dx$.
60.Find $\int_0^2 |x-1| dx$.
