integration solver
Integration Quickie and Graph Plotter

Integration answer and graph $\frac{\left(1+x\right)^2}{\sqrt{x}}$

# Integrationsolver, plotter

Integration solver solves integral calculus problems, plots graphical solution of any integration related problems.
How integration solver works

### Step 1: enter integral expression

Enter your differential expression using the correct format

### result

Hit the check mark to solve and plot your graph.

### How The Integration Solver, Plotter Calculator Works

An integration solver is used to integrate a function over a given interval. In the integration process, you have to find the area under a curve, the integral of a function, or the product of two functions. Use this integral solver to evaluate definite integrals, integrate standard functions − cos ax, sin ax, sec 2 ax, cosec 2 ax, cosec ax, cot ax, sec ax, tan ax, eax , 1/x and more.

### How Integration Calculator Works?

• Enter integral equation or expression (ensure the expressions are correctly formed)

• Hit the check mark button to solve calculate and plot your graph

### Integral Calculus

#### Example 1

Evaluate the integral ∫(3x^2 +2x +1) dx

• Step 1: Distribute the integral sign to each term inside the parentheses:

• ∫3x^2 dx + ∫2x dx + ∫1 dx

• Step 2: Integrate each term separately:

• ∫3x^2 dx = x^3 + C1 (where C1 is the constant of integration)

• ∫2x dx = x^2 + C2

• ∫1 dx = x + C3

• Step 3: Combine the results:

• ∫(3x^2 +2x +1) dx

• = x^3 + C1 + x^2 + C2 + x + C3

• = x^3 + x^2 + x + C

• (where C is the constant of integration)

#### Example 2

Evaluate the integral ∫(4x^3 -2x^2 +5) dx

• Step 1: Distribute the integral sign to each term inside the parentheses:

• ∫4x^3 dx - ∫2x^2 dx + ∫5 dx

• Step 2: Integrate each term separately:

• ∫4x^3 dx = x^4 + C1

• ∫2x^2 dx = (2/3)x^3 + C2

• ∫5 dx =5x + C3

• Step 3: Combine the results:

• ∫(4x^3 -2x^2 +5) dx

• = x^4 + C1 - (2/3)x^3 + C2 +5x + C3

• = x^4 - (2/3)x^3 +5x + C

• (where C is the constant of integration)

#### Example 3

Evaluate the integral ∫(e^x +2x^2) dx

• Step 1: Distribute the integral sign to each term inside the parentheses:

• ∫e^x dx + ∫2x^2 dx

• Step 2: Integrate each term separately:

• ∫e^x dx = e^x + C1

• ∫2x^2 dx = (2/3)x^3 + C2

• Step 3: Combine the results:

• ∫(e^x +2x^2) dx = e^x + C1 + (2/3)x^3 + C2 = e^x + (2/3)x^3 + C

• (where C is the constant of integration)

#### Example 4:

Evaluate the integral ∫(cos(x) +3sin(x)) dx

• Step 1: Distribute the integral sign to each term inside the parentheses:

• ∫cos(x) dx + ∫3sin(x) dx

• Step 2: Integrate each term separately:

• ∫cos(x) dx = sin(x) + C1

• ∫3sin(x) dx = -3cos(x) + C2

• Step 3: Combine the results:

• ∫(cos(x) +3sin(x)) dx

• = sin(x) + C1 -3cos(x) + C2

• = sin(x) -3cos(x) + C

• (where C is the constant of integration)

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