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Find the indefinite integral ∫11tan6xsec4xdx.\int{11\tan^6 x \sec^4 x}dx.∫11tan6xsec4xdx.
Find the indefinite integral ∫23tan5θsec7θdθ.\displaystyle \int{23\tan^5 \theta \sec^7 \theta}d\theta.∫23tan5θsec7θdθ.
If f(θ)=∫sin3θ−cos3θsinθ−cosθdθ+∫(1−sinθcosθ)dθ f(\theta) = \int \frac{\sin^3 \theta - \cos^3 \theta}{\sin \theta - \cos \theta} d\theta + \int (1- \sin \theta \cos \theta) d\thetaf(θ)=∫sinθ−cosθsin3θ−cos3θdθ+∫(1−sinθcosθ)dθ and f(0)=10,f(0) = 10,f(0)=10, what is the value of f(30)?f(30)?f(30)?
Evaluate ∫−47(sinx+4cosx)2dx+∫−47(4sinx−cosx)2dx. \int_{-4}^{7}\left( \sin x+4\cos x \right)^2 dx + \int_{-4}^{7}\left( 4\sin x-\cos x \right)^2 dx.∫−47(sinx+4cosx)2dx+∫−47(4sinx−cosx)2dx.
What is the value of N=∫0πsinx dxN = \int_0^{\pi} \sin x\ dxN=∫0πsinx dx?
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