\(\displaystyle{ \int (1-2x)^5 \, \, dx }\) Solution
\( \displaystyle{\int \frac{x}{x+1} \, \, dx}\)
solution
\( \displaystyle{\int x \, \cos (1+x^2) \, \, dx}\) Solution
\( \displaystyle{\int \frac{x^2} {1+x^3} \, \, dx}\)
Solution
\( \displaystyle{\int \frac{(\ln x)^4}{4x} \, \, dx}\) Solution
\(\displaystyle{\int \frac{x^2-4}{x^3-12x+6} \, dx}\) solution
\( \displaystyle{\int \frac{\sin (\ln x)}{x} \, \, dx}\) Solution
\( \displaystyle{\int \cot \theta \, \, d\theta}\) Solution
\( \displaystyle{\int \tan x \, \, dx}\)
Solution
\( \displaystyle{\int x^2 \cos (x^3) \, \, dx}\) Solution
\( \displaystyle{\int (t-2)\sqrt{3t^2-12t} \, \, dt}\)
Solution
\( \displaystyle{\int \left(1-\frac{1}{x}\right)\, \sin\left(x - \ln x \right)}\, dx\) solution
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\(\displaystyle{\int e^{x^5} x^4\, dx}\) solution
\(\displaystyle{\int \frac{x^8}{\sqrt{x^9-7}}\, dx}\) solution
\(\displaystyle{\int \frac{e^{5x}}{2+e^{5x}} \, dx}\) solution
\( \displaystyle{\int \frac{1}{x \ln x} \, \, dx}\)
Solution
\( \displaystyle{\int x \,\sqrt{1-x^2} \, \,
dx}\) Solution
\( \displaystyle{\int \sin\theta \, (1+ \cos \theta)^3
\, \, d\theta}\)
Solution
\(\displaystyle{ \int_{-1}^1 x\,(x^2+1)^2 \, \, dx}\)
Solution
\(\displaystyle{ \int_0^1 x \, \sqrt{5x^2+4} \, \,
dx}\) Solution
\(\displaystyle{ \int_1^2 \frac{x}{(x^2+3)^2} \, \, dx}\)
Solution
\( \displaystyle{\int_0^1 \frac{x+2}{\sqrt{x^2+4x}} \, \, dx}\) Solution
\( \displaystyle{\int_0^4
\frac{e^{\sqrt{x}}} {\sqrt{x}} \, \, dx} \) Solution
\( \displaystyle{\int_0^1 \frac{\tan^{-1} t} {1+t^2} \,
\, dt}\) Solution
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