Final answer to the problem
$-\frac{1}{4}\sin\left(2a\right)+\frac{3}{2}a+2\cos\left(a\right)+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
Find the integral
$\int\left(\sin\left(a\right)-1\right)\left(\sin\left(a\right)-1\right)da$
Learn how to solve integral calculus problems step by step online.
$\int\left(\sin\left(a\right)-1\right)\left(\sin\left(a\right)-1\right)da$
Learn how to solve integral calculus problems step by step online. Integrate the function (sin(a)-1)(sin(a)-1). Find the integral. When multiplying two powers that have the same base (\sin\left(a\right)-1), you can add the exponents. Rewrite the integrand \left(\sin\left(a\right)-1\right)^2 in expanded form. Expand the integral \int\left(\sin\left(a\right)^2-2\sin\left(a\right)+1\right)da into 3 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$-\frac{1}{4}\sin\left(2a\right)+\frac{3}{2}a+2\cos\left(a\right)+C_0$
