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\int\sin\left(x\right)^{13}dx

Integral of sin(x)^13

Answer

$\frac{1}{64}\int\left(1-\cos\left(2x\right)\right)^{6}\sin\left(x\right)dx$

Step-by-step explanation

Problem

$\int\sin\left(x\right)^{13}dx$
1

Rewriting the trigonometric function as the product of two lower exponents

$\int\sin\left(x\right)^{12}\sin\left(x\right)dx$

Unlock this step-by-step solution!

Answer

$\frac{1}{64}\int\left(1-\cos\left(2x\right)\right)^{6}\sin\left(x\right)dx$