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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Simplify $\frac{\sec\left(x\right)^2\sin\left(x\right)}{2}$ into $\frac{\frac{\sin\left(x\right)}{\cos\left(x\right)^2}}{2}$ by applying trigonometric identities
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$\int\frac{\frac{\sin\left(x\right)}{\cos\left(x\right)^2}}{2}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int((sec(x)^2sin(x))/2)dx. Simplify \frac{\sec\left(x\right)^2\sin\left(x\right)}{2} into \frac{\frac{\sin\left(x\right)}{\cos\left(x\right)^2}}{2} by applying trigonometric identities. Divide fractions \frac{\frac{\sin\left(x\right)}{\cos\left(x\right)^2}}{2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Take the constant \frac{1}{2} out of the integral. We can solve the integral \int\frac{\sin\left(x\right)}{\cos\left(x\right)^2}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \cos\left(x\right) it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.
