Evaluate $\int_{-7}^{18} \arctan (x) d x$ "symbolically" (plug in the limits but don't evaluate).Hint: Integrate by parts using $\frac{d}{d x} \arctan x=\frac{1}{1+x^{2}}$ .
A) $18 \arctan 18-7 \arctan (-7)+\ln \left(1+18^{2}\right)+\ln \left(1+7^{2}\right)$
B) $18 \arctan 18+7 \arctan (-7)-\ln \left(1+18^{2}\right)-\ln \left(1+7^{2}\right)$
C) $18 \arctan 18-7 \arctan (-7)+\frac{1}{2} \ln \left(1+18^{2}\right)-\frac{1}{2} \ln \left(1+7^{2}\right)$
D) $18 \arctan 18+7 \arctan (-7)-\frac{1}{2} \ln \left(1+18^{2}\right)+\frac{1}{2} \ln \left(1+7^{2}\right)$

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The Answer of Evaluate $\int_{-7}^{18} \arctan (x) d x$ "symbolically" (plug in the limits but don't evaluate).Hint: Integrate by parts using $\frac{d}{d x} \arctan x=\frac{1}{1+x^{2}}$ .
A) $18 \arctan 18-7 \arctan (-7)+\ln \left(1+18^{2}\right)+\ln \left(1+7^{2}\right)$
B) $18 \arctan 18+7 \arctan (-7)-\ln \left(1+18^{2}\right)-\ln \left(1+7^{2}\right)$
C) $18 \arctan 18-7 \arctan (-7)+\frac{1}{2} \ln \left(1+18^{2}\right)-\frac{1}{2} \ln \left(1+7^{2}\right)$
D) $18 \arctan 18+7 \arctan (-7)-\frac{1}{2} \ln \left(1+18^{2}\right)+\frac{1}{2} \ln \left(1+7^{2}\right)$

Evaluate ∫−718arctan⁡(x)dx\int_{-7}^{18} \arctan (x) d x∫−718​arctan(x)dx "Symbolically" (Plug in the Limits but Don't Evaluate)

Evaluate $\int_{-7}^{18} \arctan (x) d x$ "Symbolically" (Plug in the Limits but Don't Evaluate)