int_{-2}^{2}left(4 x^{3}-3 sin left(frac{pi}{2} xright)right) d x

Question

Accepted Answer

Step:1 ：Calculate the antiderivative of the function: (x^4 - frac{6}{pi}cosleft(frac{pi}{2}xright))Step:2 ：Evaluate the antiderivative at the upper limit of 2: (16 + frac{6}{pi})Step:3 ：Evaluate the antiderivative at the lower limit of -2: (16 + frac{6}{pi})Step:4 ：Subtract the lower limit evaluation from the upper limit evaluation: (0)Step:5 ：The solution to the integral is (boxed{0})

Answer

Step: 1 ：Calculate the antiderivative of the function: (x^4 - frac{6}{pi}cosleft(frac{pi}{2}xright))Step: 2 ：Evaluate the antiderivative at the upper limit of 2: (16 + frac{6}{pi})Step: 3 ：Evaluate the antiderivative at the lower limit of -2: (16 + frac{6}{pi})Step: 4 ：Subtract the lower limit evaluation from the upper limit evaluation: (0)Step: 5 ：The solution to the integral is (boxed{0})

$\int_{-2}^{2}\left(4 x^{3}-3 \sin \left(\frac{\pi}{2} x\right)\right) d x$

Answer

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