Integrate the following expressions with respect to $x$: $2\sin 5x - 5\sec^2 10x$ \(\sin(1 - 4x)

Question

Integrate the following expressions with respect to $x$: $2\sin 5x - 5\sec^2 10x$ $\sin(1 - 4x) + \sec^2(2x - 1)$ $11\sec^2(3x + 4) + \sin 3x$ $4\sin 3x - 12\sec^2 4x$

Accepted Answer

(a) $-\frac25\cos5x-\frac12\tan10x+C$. (b) $\frac14\cos(1-4x)+\frac12\tan(2x-1)+C$. (c) $\frac{11}{3}\tan(3x+4)-\frac13\cos3x+C$. (d) $-\frac43\cos3x-3\tan4x+C$.

Integration - Integrable Forms of Trigonometric Functions

Integration - Integrable Forms of Trigonometric Functions

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