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List of top Mathematics Questions on integral asked in CBSE CLASS XII

Integrate the function: \((x^3-1)^{\frac{1}{3}}x^5\)
Integrate the function: \(\frac{x}{\sqrt {x+4}}, \,x>0\)
Integrate the function: \(\frac{1}{x- \sqrt x}\)
Integrate the function: (4x + 2)\(\sqrt {x^2+x+1}\)
Integrate the function: \(x \sqrt {1+2x^2}\)
Integrate the function: \(x \sqrt{x+2}\)
Integrate the function: \(\sqrt {ax+b}\)
Integrate the function: sin(ax + b) cos(ax + b)
Integrate the function: sin x. sin (cos x)
Integrate the function: \(\frac{1}{x+x\log x}\)
Integrate the function: \(\frac{(\log x)^2}{x}\)
Integrate the function: \(\frac{2x}{1+x^2}\)
Find the following integral: \(\int \frac{2-3 \sin x}{\cos^2 x}dx\)
Find the following integral: \(\int \frac{\sec^2 x}{\cosec^2 x}dx\)
Find the following integral: \(\int \sec x(\sec x +\tan x)dx\)
Find the following integral: \(\int (2x^2-3sinx+5\sqrt x)dx\)
Find the following integral: \(\int (2x-3\cos x +e^x)dx\)
Find the following integral: \(\int \sqrt x(3x^2+2x+3)dx\)
Find the following integral: \(\int (1-x)\sqrt xdx\)
Find the following integral: \(\int \frac{x^3-x^2+x-1}{x-1}dx\)
Find the following integral: \(\int \frac{x^3+3x+4}{\sqrt x}dx\)
Find the following integral: \(\int \frac{x^3+5x^2-4}{x^2}dx\)
Find the following integral: \(\int \bigg( \sqrt x - \frac{1}{\sqrt x}\bigg)^2dx\)
Find the following integral: \(\int x^2\bigg(1-\frac{1}{x}\bigg)dx\)
Find the following integral: \(\int(4e^{3x}+1)dx\)

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