egin{align} intleft(2x^2-3Sinx +5sq | Class 12 Mathematics Chapter Integrals, Integrals NCERT Solutions

Question: \begin{align} \int\left(2x^2-3Sinx +5\sqrt {x}\right).dx\end{align}
Answer:

\begin{align} \int\left(2x^2-3Sinx +5\sqrt {x}\right).dx\end{align}

\begin{align} =2\int x^2.dx-3\int Sinx.dx +5\int x^\frac12.dx \end{align}

\begin{align} =\frac{2x^3}{3} - 3(- Cos x) +5\left(\frac{x^{\displaystyle\frac32}}{\displaystyle\frac32}\right) + C \end{align}

\begin{align} =\frac{2}{3}.x^3 + 3Cos x + \frac{10}{3}.x^\frac{3}{2} + C\end{align}

 


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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 17: egin{align} intleft(2x^2-3Sinx +5sqrt {x} ight).dxend{align}....