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Step-by-step Solution

Integral of e^x^2-8x-7(2x-8)

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Answer

$\frac{1}{2}e^{2x}+56x-11x^2+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(\left(e^x\right)^2-8x-7\left(2x-8\right)\right)dx$
1

Applying the power of a power property

$\int\left(e^{2x}-8x-7\left(2x-8\right)\right)dx$
2

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int e^{2x}dx+\int-8xdx+\int\left(-14x+56\right)dx$

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Answer

$\frac{1}{2}e^{2x}+56x-11x^2+C_0$

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$\int\left(\left(e^x\right)^2-8x-7\left(2x-8\right)\right)dx$

Main topic:

Integration by substitution

Used formulas:

1. See formulas

Time to solve it:

~ 0.63 seconds

Related topics:


Integration by substitution