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\int\left(x^{-2}-\sec\left(^2\right)\cdot x+3\right)dx

Integral of x^(-2)-sec(^2)*x+3

Answer

$-\left(\frac{1}{x}\right)+\sec\left(^2\right)\left(-\frac{1}{2}\right)x^2+3x+C_0$

Step-by-step explanation

Problem to solve:

$\int\left(x^{-2}-\sec\left(^2\right)\cdot x+3\right)dx$
1

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

$\int x^{-2}dx+\int-1\cdot \sec\left(^2\right)xdx+\int3dx$
2

The integral of a constant is equal to the constant times the integral's variable

$\int x^{-2}dx+\int-1\cdot \sec\left(^2\right)xdx+3x$

Unlock this step-by-step solution!

Answer

$-\left(\frac{1}{x}\right)+\sec\left(^2\right)\left(-\frac{1}{2}\right)x^2+3x+C_0$

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$\int\left(x^{-2}-\sec\left(^2\right)\cdot x+3\right)dx$

Main topic:

Integral calculus

Used formulas:

5. See formulas

Time to solve it:

~ 2.12 seconds