- #1
kathrynag
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- 0
Homework Statement
[tex]\int^{0}_{1}\frac{x^{2}}{\sqrt{1-x^{2}}}[/tex]
Homework Equations
The Attempt at a Solution
Let x=sintheta
dx=cos theta
[tex]\int^{0}_{1}\sin^{2}[/tex]
Now I get stuck
sutupidmath said:well, i believe
[tex] sin^2x=\frac{1-cos2x}{2}[/tex] would help.
kathrynag said:so then i would make u=2x and du=2dx
sutupidmath said:well first you woudl break it into 1/2-1/2 cos(2x) then if you want you can make that substituion, that would work.
kathrynag said:Ok, well that's what I meant.
Integration cos theta is a mathematical process that involves finding the antiderivative of the cosine function. It is a way to calculate the area under the curve of a cosine graph.
Integration cos theta is important because it is a fundamental concept in calculus and is used to solve various mathematical problems involving trigonometric functions. It is also utilized in physics and engineering to model and analyze periodic phenomena.
To integrate cos theta, you can use the integration by parts method or the substitution method. You can also use trigonometric identities to simplify the integral and make it easier to solve.
No, integration cos theta cannot be solved without using calculus. It is a fundamental concept in calculus and requires knowledge of derivatives, antiderivatives, and integration techniques to solve.
Yes, here are a few tips for solving integration cos theta problems: