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Popular Calculus >

integral of 5picos(pi)x

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Solution

∫5πcos(π)xdx

Solution

−25πx2​+C
Solution steps
∫5πcos(π)xdx
Take the constant out: ∫a⋅f(x)dx=a⋅∫f(x)dx=5πcos(π)⋅∫xdx
5πcos(π)=−5π
=(−5π)⋅∫xdx
Apply the Power Rule
=(−5π)2x2​
Simplify (−5π)2x2​:−25πx2​
=−25πx2​
Add a constant to the solution=−25πx2​+C

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Popular Examples

integral of (x^{1.7}+11x^{4.5})y^'=(18(1+3y))/((3-3x)^2),y(2)=0derivative of \sqrt[3]{x}+3/xintegral from-4 to 2 of 12-x-x^2-(x+4)(\partial)/(\partial x)(9ln(8x^2+y^3))

Frequently Asked Questions (FAQ)

  • What is the integral of 5picos(pi)x ?

    The integral of 5picos(pi)x is -(5pix^2)/2+C
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