Integrating Sine and Cosine Functions
Read this topicExplanations 2
- You now know what trig functions are. You now know that sin(30∘)=12\sin(30^{\circ})=\frac{1}{2}sin(30∘)=21. But what if you wanted it do it the other way around? Using the pre…
By Freya Edholm, Rajiv Movva
- Hey everyone! Today, we are going to do some cool things about integrals of trigonometric functions. Assuming you all all familiar with sin(x)\sin(x)sin(x) and cos(x)\cos(x)co…
By Yijia Chen, Moor Xu, Caroline K
Problems 5
- Compute ∫03π/2∣sinx∣ dx\int_0^{3\pi/2} |\sin x| \, dx∫03π/2∣sinx∣dx.
- Compute ∫π2π∣cosx∣ dx\int_\pi^{2\pi} |\cos x| \, dx∫π2π∣cosx∣dx.
- Integrate ∫0πsin2xsinx dx\int_0^\pi \frac{\sin 2x}{\sin x} \, dx∫0πsinxsin2xdx.
- Compute ∫0π/3sinθ+sinθtan2θsec2θ dθ\int_0^{\pi/3} \frac{\sin\theta + \sin\theta \tan^2\theta}{\sec^2 \theta} \, d\theta∫0π/3sec2θsinθ+sinθtan2θdθ.
- Compute ∫01/2sin(2πt) dt\int_0^{1/2} \sin(2 \pi t) \, dt∫01/2sin(2πt)dt.