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Question Number 83984 by M±th+et£s last updated on 08/Mar/20

$$\int {cos}^7\left(x\right)dx$$

Answered by TANMAY PANACEA last updated on 08/Mar/20

$$\int {cos}^{6}x\times cosxdx$$$$\int {(1-{sin}^{2}x)}^3\times cosxdx$$$$\int {(1-a^2)}^{3}da$$$$\int (1-3a^2+3a^4-a^6)da$$$$a-a^3+\frac{3a^5}{5}-\frac{a^7}{7}+c$$$$sinx-\frac{{sin}^{3}x}{1}+\frac{3{sin}^{5}x}{5}-\frac{{sin}^{7}x}{7}+c$$

Commented by M±th+et£s last updated on 08/Mar/20

$$godblessyousir$$

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